document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1038995>Question 1038995</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For which pairs of functions is (f o g)(x) =x\r<BR>\n" );
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document.write( "f(x)=x^2 and g(x) = 1/x\r<BR>\n" );
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document.write( "f(x) = 2/x and g(x) = 2/x\r<BR>\n" );
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document.write( "f(x) = x-2/3 and g(x) = 2-3x\r<BR>\n" );
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document.write( "f(x) = 1/2 x-2 and g(x) = 1/2 x+2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #653721 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=653721\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "For each of the given answers, replace x in f(x) with the definition of g(x).  Simplify.  If you get anything but x, exclude that answer.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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