document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198369>Question 198369</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi!\r<BR>\n" );
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document.write( "I cant get the right answer for this problem. Can you help?\r<BR>\n" );
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document.write( "Find the inverse function of f.\r<BR>\n" );
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document.write( "f(x)=( x - 7)/(4 x + 8) \r<BR>\n" );
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document.write( "thanks for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #148852 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=148852\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x-7%29%2F%284x%2B8%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-7%29%2F%284x%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given function.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x-7%29%2F%284x%2B8%29 ALIGN=MIDDLE  ALT=\"y=%28x-7%29%2F%284x%2B8%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=%28y-7%29%2F%284y%2B8%29 ALIGN=MIDDLE  ALT=\"x=%28y-7%29%2F%284y%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Switch each x with y (and vice versa). The goal now is to solve for y\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%284y%2B8%29=y-7 ALIGN=MIDDLE  ALT=\"x%284y%2B8%29=y-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y%2B8 ALIGN=MIDDLE  ALT=\"4y%2B8\"   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=4xy%2B8x=y-7 ALIGN=MIDDLE  ALT=\"4xy%2B8x=y-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4xy=y-7-8x ALIGN=MIDDLE  ALT=\"4xy=y-7-8x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 8x from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4xy-y=-7-8x ALIGN=MIDDLE  ALT=\"4xy-y=-7-8x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract y from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4xy-y=-8x-7 ALIGN=MIDDLE  ALT=\"4xy-y=-8x-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%284x-1%29=-8x-7 ALIGN=MIDDLE  ALT=\"y%284x-1%29=-8x-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF 'y'\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-8x-7%29%2F%284x-1%29 ALIGN=MIDDLE  ALT=\"y=%28-8x-7%29%2F%284x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-1 ALIGN=MIDDLE  ALT=\"4x-1\"   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{-8x-7}{4x-1}\"> </SPAN>\n" );
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