document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=932707>Question 932707</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the inverse of the function, f^-1(x), if it exists. f(x)= -2 - 5x / 4 + 5x, assume x can not equal -0.8<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 #566333 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=566333\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The idea is to replace f(x) with y, swap x and y, and then solve for y like so... \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=+%28-2-5x%29%2F%284+%2B+5x%29 ALIGN=MIDDLE  ALT=\"f%28x%29=+%28-2-5x%29%2F%284+%2B+5x%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=4x+%2B+5xy=+-2-5y ALIGN=MIDDLE  ALT=\"4x+%2B+5xy=+-2-5y\"   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%2B5y=+-2-4x ALIGN=MIDDLE  ALT=\"5xy%2B5y=+-2-4x\"   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%2B5y=+-4x-2 ALIGN=MIDDLE  ALT=\"5xy%2B5y=+-4x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the inverse is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f^{-1}(x) = \frac{-4x-2}{5x+5}\">\r<BR>\n" );
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document.write( "Jim\r<BR>\n" );
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