document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=753513>Question 753513</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If f(x)=(x+2)/(x-3)\r<BR>\n" );
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document.write( "a) Find a formula for f^-1 (please show work)\r<BR>\n" );
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document.write( "b) Show algebraically, that they are inverses of each other.\r<BR>\n" );
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document.write( "Thanks in advance for your time and assistance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #458422 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=458422\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The quick, crude way:\r<BR>\n" );
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document.write( "say f(x) is y, and switch places of x and y.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28y%2B2%29%2F%28y-3%29 ALIGN=MIDDLE  ALT=\"x=%28y%2B2%29%2F%28y-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28y-3%29=y%2B2 ALIGN=MIDDLE  ALT=\"x%28y-3%29=y%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy-3x=y%2B2 ALIGN=MIDDLE  ALT=\"xy-3x=y%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy-y=3x%2B2 ALIGN=MIDDLE  ALT=\"xy-y=3x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28x-1%29=3x%2B2 ALIGN=MIDDLE  ALT=\"y%28x-1%29=3x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%283x%2B2%29%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"y=%283x%2B2%29%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This must be called something other than f(x).  Say g(x) is the formula we just found. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28g%28x%29=%283x%2B2%29%2F%28x-1%29%29 ALIGN=MIDDLE  ALT=\"highlight%28g%28x%29=%283x%2B2%29%2F%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this is the inverse of f(x).\r<BR>\n" );
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document.write( "Now if they are inverses, then you should form the compositions, f(g(x)) and g(f(x)) and both of them should be found to be x. </SPAN>\n" );
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