document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=735552>Question 735552</A>: <I><SPAN STYLE=\"word-break: break-all;\"> State the inverse of each relation. Is the inverse a function?\r<BR>\n" );
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document.write( "1. {(18, -3), (-13, -10), (-3, 17), (0, -15)}\r<BR>\n" );
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document.write( "2. {(5, -11), (-19, -19), (-6, -4), (-3, 8), (-12, 5)}\r<BR>\n" );
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document.write( "3. {(-9, -8), (-16, 5), (17, 6), (19, 4), (-8, 9), (-10, -10)}\r<BR>\n" );
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document.write( "4. {(8, -5), (-4, -14), (16, 12), (-13, 4), (-17, -2), (3, -13)}\r<BR>\n" );
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document.write( "5. {(-14, -9), (-0, 2), (8, -4), (-5, 6), (-7, -4)}\r<BR>\n" );
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document.write( "6. {(-15, -1), (0, -1), (-6, -1), (-16, 3)}\r<BR>\n" );
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document.write( "7. g(x) = (4/3)x - 7/3\r<BR>\n" );
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document.write( "8. h(x) = (18x + 2)/10\r<BR>\n" );
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document.write( "9. f(x) = (2/9)x - 1/9\r<BR>\n" );
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document.write( "10. f(x) = (-6x + 2)/5\r<BR>\n" );
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document.write( "11. g(x) = (5/8)x - 3/4\r<BR>\n" );
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document.write( "12. h(x) = (8x + 9)/8\r<BR>\n" );
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document.write( "13. h(x) = (-7/5)x - 1\r<BR>\n" );
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document.write( "14. f(x) = (9/8)x + 3/8\r<BR>\n" );
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document.write( "15. g(x) = (18x + -36)/30\r<BR>\n" );
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document.write( "Are f and g inverses of each other? Give your explanation to support your response.\r<BR>\n" );
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document.write( "16.  f(x) = (2x + -6)/7<BR>\n" );
document.write( "       g(x) = (7/2)x + 3<BR>\n" );
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document.write( "17.  f(x) = -(1/5)x + 3/5<BR>\n" );
document.write( "       g(x) = -5x + 3  \r<BR>\n" );
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document.write( "18. f(x) = x + 1/2<BR>\n" );
document.write( "     g(x) = 1x - 1/2\r<BR>\n" );
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document.write( "19. f(x) = (63x + 42)/49<BR>\n" );
document.write( "     g(x) = (7/9)x - 2/5\r<BR>\n" );
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document.write( "20. Fahrenheit and Kelvin temperature scales are related by the formula K = 5/9 (F - 32) + 273. Solve this equation for F.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #449467 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=449467\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Generally we switch the roles of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > to find the inverse.\r<BR>\n" );
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document.write( "1. {(18, -3), (-13, -10), (-3, 17), (0, -15)}\r<BR>\n" );
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document.write( " the inverse:{(-3, 18), (-10, -13), (17, -3), (-15, 0)}\r<BR>\n" );
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document.write( "2. {(5, -11), (-19, -19), (-6, -4), (-3, 8), (-12, 5)}\r<BR>\n" );
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document.write( " the inverse:{(-11, 5), (-19, -19), (-4, -6), (8, -3), (5, -12)}\r<BR>\n" );
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document.write( "3. {(-9, -8), (-16, 5), (17, 6), (19, 4), (-8, 9), (-10, -10)}\r<BR>\n" );
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document.write( "the inverse:{(-8, -9), (6, -16), (6, 17), (4, 19), (9, -8), (-10, -10)}<BR>\n" );
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document.write( "4. {(8, -5), (-4, -14), (16, 12), (-13, 4), (-17, -2), (3, -13)}\r<BR>\n" );
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document.write( " the inverse:{(-5, 8), (-14, -4), (12, 16), (4, -13), (-2, -17), (-13, 3)}\r<BR>\n" );
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document.write( "5. {(-14, -9), (-0, 2), (8, -4), (-5, 6), (-7, -4)}\r<BR>\n" );
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document.write( "  the inverse:{(-9, -14), (2, 0), (-4, 8), (6, -5), (-4, -7)}\r<BR>\n" );
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document.write( "6. {(-15, -1), (0, -1), (-6, -1), (-16, 3)}\r<BR>\n" );
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document.write( "the inverse: {(-1, -15), (-1, 0), (-1, -6), (3, -16)}\r<BR>\n" );
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document.write( "  7. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+%284%2F3%29x+-+7%2F3 ALIGN=MIDDLE  ALT=\"g%28x%29+=+%284%2F3%29x+-+7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >....<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=y ALIGN=MIDDLE  ALT=\"g%28x%29+=y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%284%2F3%29x+-+7%2F3 ALIGN=MIDDLE  ALT=\"y+=+%284%2F3%29x+-+7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "we write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+%284%2F3%29y+-+7%2F3 ALIGN=MIDDLE  ALT=\"x=+%284%2F3%29y+-+7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "8. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29+=+%2818x+%2B+2%29%2F10 ALIGN=MIDDLE  ALT=\"h%28x%29+=+%2818x+%2B+2%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=y ALIGN=MIDDLE  ALT=\"g%28x%29+=y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%2818x+%2B+2%29%2F10 ALIGN=MIDDLE  ALT=\"y+=+%2818x+%2B+2%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >..switch <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2818y+%2B+2%29%2F10 ALIGN=MIDDLE  ALT=\"x+=+%2818y+%2B+2%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >...solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "9. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+%282%2F9%29x+-+1%2F9 ALIGN=MIDDLE  ALT=\"f%28x%29+=+%282%2F9%29x+-+1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%282%2F9%29x+-+1%2F9 ALIGN=MIDDLE  ALT=\"y+=+%282%2F9%29x+-+1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >....switch <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "10. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+%28-6x+%2B+2%29%2F5 ALIGN=MIDDLE  ALT=\"f%28x%29+=+%28-6x+%2B+2%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-6x+%2B+2%29%2F5 ALIGN=MIDDLE  ALT=\"y+=+%28-6x+%2B+2%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "11. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+%285%2F8%29x+-+3%2F4 ALIGN=MIDDLE  ALT=\"g%28x%29+=+%285%2F8%29x+-+3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<BR>\n" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%28x+%2B3%2F4%29%2F5=+y+ ALIGN=MIDDLE  ALT=\"8%28x+%2B3%2F4%29%2F5=+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x+%2B24%2F4%29%2F5=+y+ ALIGN=MIDDLE  ALT=\"%288x+%2B24%2F4%29%2F5=+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x+%2B6%29%2F5=+y+ ALIGN=MIDDLE  ALT=\"%288x+%2B6%29%2F5=+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F5%29%288x+%2B6%29=+y+ ALIGN=MIDDLE  ALT=\"%281%2F5%29%288x+%2B6%29=+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "12. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29+=+%288x+%2B+9%29%2F8 ALIGN=MIDDLE  ALT=\"h%28x%29+=+%288x+%2B+9%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%288x+%2B+9%29%2F8 ALIGN=MIDDLE  ALT=\"y+=+%288x+%2B+9%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%288y+%2B+9%29%2F8 ALIGN=MIDDLE  ALT=\"x+=+%288y+%2B+9%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x+=+8y+%2B+9 ALIGN=MIDDLE  ALT=\"8x+=+8y+%2B+9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x-9+=+8y+ ALIGN=MIDDLE  ALT=\"8x-9+=+8y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%2F8-9%2F8+=+y+ ALIGN=MIDDLE  ALT=\"8x%2F8-9%2F8+=+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F8%29%288x-9%29+=+y+ ALIGN=MIDDLE  ALT=\"%281%2F8%29%288x-9%29+=+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "13. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29+=+%28-7%2F5%29x+-+1 ALIGN=MIDDLE  ALT=\"h%28x%29+=+%28-7%2F5%29x+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-7%2F5%29x+-+1 ALIGN=MIDDLE  ALT=\"y+=+%28-7%2F5%29x+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-7%2F5%29y+-+1 ALIGN=MIDDLE  ALT=\"x+=+%28-7%2F5%29y+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B1=+%28-7%2F5%29y+ ALIGN=MIDDLE  ALT=\"x+%2B1=+%28-7%2F5%29y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B1%29%2F%28-7%2F5%29=y+ ALIGN=MIDDLE  ALT=\"%28x+%2B1%29%2F%28-7%2F5%29=y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28x+%2B1%29%2F-7=y+ ALIGN=MIDDLE  ALT=\"5%28x+%2B1%29%2F-7=y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%28x+%2B1%29%2F7=y+ ALIGN=MIDDLE  ALT=\"-5%28x+%2B1%29%2F7=y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5%2F7%29%28x+%2B1%29=y+ ALIGN=MIDDLE  ALT=\"%28-5%2F7%29%28x+%2B1%29=y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "14. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+%289%2F8%29x+%2B+3%2F8 ALIGN=MIDDLE  ALT=\"f%28x%29+=+%289%2F8%29x+%2B+3%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%289%2F8%29x+%2B+3%2F8 ALIGN=MIDDLE  ALT=\"y+=+%289%2F8%29x+%2B+3%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%289%2F8%29y+%2B+3%2F8 ALIGN=MIDDLE  ALT=\"x+=+%289%2F8%29y+%2B+3%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3%2F8+=+%289%2F8%29y+ ALIGN=MIDDLE  ALT=\"x-3%2F8+=+%289%2F8%29y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%2F8%29%2F%289%2F8%29=y+ ALIGN=MIDDLE  ALT=\"%28x-3%2F8%29%2F%289%2F8%29=y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%28x-3%2F8%29%2F9=y+ ALIGN=MIDDLE  ALT=\"8%28x-3%2F8%29%2F9=y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x-%283%2A8%29%2F8%29%2F9=y+ ALIGN=MIDDLE  ALT=\"%288x-%283%2A8%29%2F8%29%2F9=y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x-3%29%2F9=y+ ALIGN=MIDDLE  ALT=\"%288x-3%29%2F9=y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F9%29%288x-3%29=y+ ALIGN=MIDDLE  ALT=\"%281%2F9%29%288x-3%29=y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "15. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+%2818x+%2B+-36%29%2F30 ALIGN=MIDDLE  ALT=\"g%28x%29+=+%2818x+%2B+-36%29%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%2818x+%2B+-36%29%2F30 ALIGN=MIDDLE  ALT=\"y+=+%2818x+%2B+-36%29%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2818y+%2B+-36%29%2F30 ALIGN=MIDDLE  ALT=\"x+=+%2818y+%2B+-36%29%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30x+=+18y+%2B+-36 ALIGN=MIDDLE  ALT=\"30x+=+18y+%2B+-36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30x+%2B36=+18y+ ALIGN=MIDDLE  ALT=\"30x+%2B36=+18y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2F3+%2B6%2F3=+y+ ALIGN=MIDDLE  ALT=\"5x%2F3+%2B6%2F3=+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29%285x+%2B6%29=+y+ ALIGN=MIDDLE  ALT=\"%281%2F3%29%285x+%2B6%29=+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g+ ALIGN=MIDDLE  ALT=\"g+\"   DISABLED_style= \"max-width:90%; height:auto;\" >inverses of each other? Give your explanation to support your response.\r<BR>\n" );
document.write( "\n" );
document.write( "16.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+%282x+-6%29%2F7 ALIGN=MIDDLE  ALT=\"f%28x%29+=+%282x+-6%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > to make sure if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g+ ALIGN=MIDDLE  ALT=\"g+\"   DISABLED_style= \"max-width:90%; height:auto;\" >inverses , find inverse of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" > and see if it is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g ALIGN=MIDDLE  ALT=\"g\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "or should be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E1=g ALIGN=MIDDLE  ALT=\"f%5E1=g\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%5E1=f ALIGN=MIDDLE  ALT=\"g%5E1=f\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%282x-6%29%2F7 ALIGN=MIDDLE  ALT=\"y+=+%282x-6%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%282y-6%29%2F7 ALIGN=MIDDLE  ALT=\"x+=+%282y-6%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x+=+2y+-6 ALIGN=MIDDLE  ALT=\"7x+=+2y+-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2B6+=+2y ALIGN=MIDDLE  ALT=\"7x%2B6+=+2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2F2%29x%2B6%2F2+=+y ALIGN=MIDDLE  ALT=\"%287%2F2%29x%2B6%2F2+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2F2%29x%2B3+=+y ALIGN=MIDDLE  ALT=\"%287%2F2%29x%2B3+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" >...this is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E1 ALIGN=MIDDLE  ALT=\"f%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and as you can see it is equal  to\r<BR>\n" );
document.write( "\n" );
document.write( "       <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+%287%2F2%29x+%2B+3 ALIGN=MIDDLE  ALT=\"g%28x%29+=+%287%2F2%29x+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "do same with  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+%287%2F2%29x+%2B+3 ALIGN=MIDDLE  ALT=\"g%28x%29+=+%287%2F2%29x+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%287%2F2%29x+%2B+3 ALIGN=MIDDLE  ALT=\"y+=+%287%2F2%29x+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%287%2F2%29y+%2B+3 ALIGN=MIDDLE  ALT=\"x+=+%287%2F2%29y+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3+=+%287%2F2%29y+ ALIGN=MIDDLE  ALT=\"x-3+=+%287%2F2%29y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%2F%287%2F2%29=y+ ALIGN=MIDDLE  ALT=\"%28x-3%29%2F%287%2F2%29=y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x-3%29%2F7=y+ ALIGN=MIDDLE  ALT=\"2%28x-3%29%2F7=y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-6%29%2F7=y+ ALIGN=MIDDLE  ALT=\"%282x-6%29%2F7=y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  .......<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g ALIGN=MIDDLE  ALT=\"g\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equal  to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E-1 ALIGN=MIDDLE  ALT=\"f%5E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  \r<BR>\n" );
document.write( "\n" );
document.write( "so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g+ ALIGN=MIDDLE  ALT=\"g+\"   DISABLED_style= \"max-width:90%; height:auto;\" > are inverses of each other\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I am sure you will be able to do 17,17, and 19 by yourself\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "17.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+-%281%2F5%29x+%2B+3%2F5 ALIGN=MIDDLE  ALT=\"f%28x%29+=+-%281%2F5%29x+%2B+3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "       <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+-5x+%2B+3+ ALIGN=MIDDLE  ALT=\"g%28x%29+=+-5x+%2B+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "18. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+x+%2B+1%2F2 ALIGN=MIDDLE  ALT=\"f%28x%29+=+x+%2B+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+1x+-+1%2F2 ALIGN=MIDDLE  ALT=\"g%28x%29+=+1x+-+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "19. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+%2863x+%2B+42%29%2F49 ALIGN=MIDDLE  ALT=\"f%28x%29+=+%2863x+%2B+42%29%2F49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+%287%2F9%29x+-+2%2F5 ALIGN=MIDDLE  ALT=\"g%28x%29+=+%287%2F9%29x+-+2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "20. Fahrenheit and Kelvin temperature scales are related by the formula K = 5/9 (F - 32) + 273. Solve this equation for F.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+K+=+%285%2F9%29+%28F+-+32%29+%2B+273 ALIGN=MIDDLE  ALT=\"+K+=+%285%2F9%29+%28F+-+32%29+%2B+273\"   DISABLED_style= \"max-width:90%; height:auto;\" >... Solve this equation for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F ALIGN=MIDDLE  ALT=\"F\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28K-273%29+=+%285%2F9%29+%28F+-+32%29 ALIGN=MIDDLE  ALT=\"+%28K-273%29+=+%285%2F9%29+%28F+-+32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28K-273%29%2F%285%2F9%29+=%28F+-+32%29 ALIGN=MIDDLE  ALT=\"+%28K-273%29%2F%285%2F9%29+=%28F+-+32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9%28K-273%29%2F5+=F+-+32 ALIGN=MIDDLE  ALT=\"+9%28K-273%29%2F5+=F+-+32\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9%28K-273%29%2F5%2B32+=F+ ALIGN=MIDDLE  ALT=\"+9%28K-273%29%2F5%2B32+=F+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );