document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1039794>Question 1039794</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the inverse of the 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+=+%28-5x%2B4%29%2F%28-8x-7%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+%28-5x%2B4%29%2F%28-8x-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I know the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287x%2B4%29%2F%28-8x%2B5%29 ALIGN=MIDDLE  ALT=\"%287x%2B4%29%2F%28-8x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > but how do I solve this? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #654544 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=654544\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The basic outline of finding the inverse is to\r<BR>\n" );
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document.write( "step 1) Replace f(x) with y\r<BR>\n" );
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document.write( "step 2) Swap x and y\r<BR>\n" );
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document.write( "step 3) solve for y\r<BR>\n" );
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document.write( "Let's use this outline to get...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+%28-5x%2B4%29%2F%28-8x-7%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+%28-5x%2B4%29%2F%28-8x-7%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=y+=+%28-5x%2B4%29%2F%28-8x-7%29 ALIGN=MIDDLE  ALT=\"y+=+%28-5x%2B4%29%2F%28-8x-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace f(x) with y\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-5y%2B4%29%2F%28-8y-7%29 ALIGN=MIDDLE  ALT=\"x+=+%28-5y%2B4%29%2F%28-8y-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Swap x and y. Now isolate y.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28-8y-7%29+=+-5y%2B4 ALIGN=MIDDLE  ALT=\"x%28-8y-7%29+=+-5y%2B4\"   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=-8xy-7x+=+-5y%2B4 ALIGN=MIDDLE  ALT=\"-8xy-7x+=+-5y%2B4\"   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=-8xy%2B5y+=+4%2B7x ALIGN=MIDDLE  ALT=\"-8xy%2B5y+=+4%2B7x\"   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+=+%287x%2B4%29%2F%28-8x%2B5%29 ALIGN=MIDDLE  ALT=\"y+=+%287x%2B4%29%2F%28-8x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Final Answer:\r<BR>\n" );
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document.write( "The inverse function is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f^{-1}(x) = \frac{7x+4}{-8x+5}\"> </SPAN>\n" );
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