document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=396938>Question 396938</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For each pair of functions f and g below, 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)= 2/x, x is not equal to 0<BR>\n" );
document.write( "g(x)= 2/x, x is not equal to 0\r<BR>\n" );
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document.write( "f(g(x))=<BR>\n" );
document.write( "g(f(x))=\r<BR>\n" );
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document.write( "Are they inverses of each other? Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #281430 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=281430\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For each pair of functions f and g below, find f(g(x)) and g(f(x)). Then, determine whether f and g are inverses of each other. <BR>\n" );
document.write( "f(x)= 2/x, x is not equal to 0<BR>\n" );
document.write( "g(x)= 2/x, x is not equal to 0 <BR>\n" );
document.write( "f(g(x))= f{2/x) = 2/(2/x) = x<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "g(f(x))= g(2/x) = 2/(2/x) = x<BR>\n" );
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document.write( "Are they inverses of each other?<BR>\n" );
document.write( "Yes, because each of the functions undoes what<BR>\n" );
document.write( "the other does.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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