document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=808296>Question 808296</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help with this problem: Find f(g(x)) and g(f(x)). Then, determine whether f and g are inverses of each other.\r<BR>\n" );
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document.write( "f(x)=6/x, x&#8800;0<BR>\n" );
document.write( "g(x)=-(6/x), x&#8800;0\r<BR>\n" );
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document.write( "Thank you!\r<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 #486940 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=486940\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=6/x<BR>\n" );
document.write( "g(x) = -6/x<BR>\n" );
document.write( "f(g(x)) = 6/(-6/x) = -x<BR>\n" );
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document.write( "g(f(x)) = -6/(6/x) = -x <BR>\n" );
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document.write( "y = 6/x<BR>\n" );
document.write( "Swap x & y<BR>\n" );
document.write( "x = 6/y<BR>\n" );
document.write( "Solve for y<BR>\n" );
document.write( "y = 6/x is the inverse.  Not negative.<BR>\n" );
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