document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1132864>Question 1132864</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to find the inverse function of m(x)= (1/x)-x I know the answer is =(-x+sqroot(x^2+4))/2 but I don't know how to get there </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #750026 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=750026\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m%28x%29=+1%2Fx-x ALIGN=MIDDLE  ALT=\"+m%28x%29=+1%2Fx-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "   to find the inverse function of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%28x%29 ALIGN=MIDDLE  ALT=\"m%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (recall <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%28x%29=y ALIGN=MIDDLE  ALT=\"m%28x%29=y\"   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=+1%2Fx-x ALIGN=MIDDLE  ALT=\"y=+1%2Fx-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >..............swap <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   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=x=+1%2Fy-y ALIGN=MIDDLE  ALT=\"x=+1%2Fy-y\"   DISABLED_style= \"max-width:90%; height:auto;\" >..............solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   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=x=+1%2Fy-y%5E2%2Fy ALIGN=MIDDLE  ALT=\"x=+1%2Fy-y%5E2%2Fy\"   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=x=+%281-y%5E2%29%2Fy ALIGN=MIDDLE  ALT=\"x=+%281-y%5E2%29%2Fy\"   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=xy=+1-y%5E2 ALIGN=MIDDLE  ALT=\"xy=+1-y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >......move <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2 ALIGN=MIDDLE  ALT=\"y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to the left\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2Bxy=1 ALIGN=MIDDLE  ALT=\"y%5E2%2Bxy=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >----complete square on left side\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E2%2Bxy%2Bb%5E2%29-b%5E2=1 ALIGN=MIDDLE  ALT=\"%28y%5E2%2Bxy%2Bb%5E2%29-b%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >........<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2ab=x ALIGN=MIDDLE  ALT=\"2ab=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > =>since coefficient <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1 ALIGN=MIDDLE  ALT=\"a=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=x%2F2 ALIGN=MIDDLE  ALT=\"b=x%2F2\"   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=%28y%5E2%2Bxy%2B%28x%2F2%29%5E2%29-%28x%2F2%29%5E2=1 ALIGN=MIDDLE  ALT=\"%28y%5E2%2Bxy%2B%28x%2F2%29%5E2%29-%28x%2F2%29%5E2=1\"   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=%28y%2Bx%2F2%29%5E2-x%5E2%2F4=1 ALIGN=MIDDLE  ALT=\"%28y%2Bx%2F2%29%5E2-x%5E2%2F4=1\"   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=%28y%2Bx%2F2%29%5E2=%28x%5E2%2B4%29%2F4 ALIGN=MIDDLE  ALT=\"%28y%2Bx%2F2%29%5E2=%28x%5E2%2B4%29%2F4\"   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%2Bx%2F2=sqrt%28%28x%5E2%2B4%29%2F4%29 ALIGN=MIDDLE  ALT=\"y%2Bx%2F2=sqrt%28%28x%5E2%2B4%29%2F4%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%2Bx%2F2=sqrt%28x%5E2%2B4%29%2F2 ALIGN=MIDDLE  ALT=\"y%2Bx%2F2=sqrt%28x%5E2%2B4%29%2F2\"   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=+-x%2F2%2Bsqrt%28x%5E2%2B4%29%2F2 ALIGN=MIDDLE  ALT=\"y=+-x%2F2%2Bsqrt%28x%5E2%2B4%29%2F2\"   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-x%2Bsqrt%28x%5E2%2B4%29%29%2F2 ALIGN=MIDDLE  ALT=\"y=+%28-x%2Bsqrt%28x%5E2%2B4%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m%5E-1%28x%29=%28-x%2Bsqrt%28x%5E2%2B4%29%29%2F2 ALIGN=MIDDLE  ALT=\"+m%5E-1%28x%29=%28-x%2Bsqrt%28x%5E2%2B4%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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