document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135756>Question 1135756</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 	16 pts)  Let   f(x)=(3x -7)/(5x - 8)       \r<BR>\n" );
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document.write( "		(a)  Determine f -1 , the inverse function of f.  Show work.\r<BR>\n" );
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document.write( "		(b) Determine the domain of f.  What is the domain of the inverse function?\r<BR>\n" );
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document.write( "		(c) Determine f (3).           f (3) = ______                                   <BR>\n" );
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document.write( "		(d) What is f -1 ( ____ ), where the number in the blank is your answer from part (c)?    <BR>\n" );
document.write( "			work/explanation optional<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 #753412 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=753412\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "  Let   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%283x+-7%29%2F%285x+-+8%29++ ALIGN=MIDDLE  ALT=\"f%28x%29=%283x+-7%29%2F%285x+-+8%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" >     \r<BR>\n" );
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document.write( "		(a)  Determine <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;\" > , the inverse function of f.  Show work.\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%283x+-7%29%2F%285x+-+8%29++ ALIGN=MIDDLE  ALT=\"f%28x%29=%283x+-7%29%2F%285x+-+8%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" > ....since  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=y+ ALIGN=MIDDLE  ALT=\"f%28x%29=y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%283x+-7%29%2F%285x+-+8%29++ ALIGN=MIDDLE  ALT=\"y=%283x+-7%29%2F%285x+-+8%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" > ................swap <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=%283y+-7%29%2F%285y+-+8%29++ ALIGN=MIDDLE  ALT=\"x=%283y+-7%29%2F%285y+-+8%29++\"   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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%285y+-+8%29+=3y+-7+ ALIGN=MIDDLE  ALT=\"x%285y+-+8%29+=3y+-7+\"   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=5xy+-+8x=3y+-7+ ALIGN=MIDDLE  ALT=\"5xy+-+8x=3y+-7+\"   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=5xy+-+3y=8x+-7+ ALIGN=MIDDLE  ALT=\"5xy+-+3y=8x+-7+\"   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=%288x+-7%29%2F%285x+-+3%29+ ALIGN=MIDDLE  ALT=\"y=%288x+-7%29%2F%285x+-+3%29+\"   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=f+%5E-1=%288x+-7%29%2F%285x+-+3%29+ ALIGN=MIDDLE  ALT=\"f+%5E-1=%288x+-7%29%2F%285x+-+3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(b) Determine the domain of f.  What is the domain of the inverse function?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%283x+-7%29%2F%285x+-+8%29++ ALIGN=MIDDLE  ALT=\"f%28x%29=%283x+-7%29%2F%285x+-+8%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "domain: exclude <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > value that makes denominator equal to zero<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+-+8=0++ ALIGN=MIDDLE  ALT=\"5x+-+8=0++\"   DISABLED_style= \"max-width:90%; height:auto;\" >-><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=8%2F5++ ALIGN=MIDDLE  ALT=\"x+=8%2F5++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "so, domain is: { <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > element <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" > : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E8%2F5 ALIGN=MIDDLE  ALT=\"x%3C%3E8%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > }\r<BR>\n" );
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document.write( "(c) Determine <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+%283%29 ALIGN=MIDDLE  ALT=\"f+%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.          \r<BR>\n" );
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document.write( "plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   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=f%283%29=%283%2A3+-7%29%2F%285%2A3+-+8%29++=%289-7%29%2F%2815-8%29=2%2F7 ALIGN=MIDDLE  ALT=\"f%283%29=%283%2A3+-7%29%2F%285%2A3+-+8%29++=%289-7%29%2F%2815-8%29=2%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+%283%29+=2%2F7 ALIGN=MIDDLE  ALT=\"f+%283%29+=2%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >                                   <BR>\n" );
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document.write( "(d) What is f^ -1 ( ____ ), where the number in the blank is your answer from part (c)?    <BR>\n" );
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