document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=286349>Question 286349</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show all work: f(x)=8x-32 and g(x)=1/8x+32<BR>\n" );
document.write( "Is f(x) the inverse of g(x)\r<BR>\n" );
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document.write( "I missed this week in class and have no clue what this means or how to solve. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #207656 by </B><A HREF=/tutors/aboutme.mpl?userid=texttutoring><B>texttutoring(324)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=texttutoring><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=texttutoring><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=207656\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find the inverse of the function g(x), we will first rewrite it so that g(x)=y:\r<BR>\n" );
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document.write( "g(x)=(1/8)x+32<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F8%29x%2B32 ALIGN=MIDDLE  ALT=\"y=%281%2F8%29x%2B32\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "An inverse function is simply one where the x and y values have been swapped. That means anywhere where there is an x, make it y, and anywhere you see a y, make it an x.\r<BR>\n" );
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document.write( "Step 1: swap the y and x values.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F8%29x%2B32 ALIGN=MIDDLE  ALT=\"y=%281%2F8%29x%2B32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%281%2F8%29y%2B32 ALIGN=MIDDLE  ALT=\"x=%281%2F8%29y%2B32\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now rearrange the equation so that y is isolated.\r<BR>\n" );
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document.write( "x-32=(1/8)y\r<BR>\n" );
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document.write( "Multiply both sides by 8:\r<BR>\n" );
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document.write( "8x-256=y<BR>\n" );
document.write( "The inverse of g(x) is y=8x-256\r<BR>\n" );
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document.write( "f(x)=8x-32, so no, the inverse of g(x) is NOT equal to f(x) </SPAN>\n" );
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