document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=122560>Question 122560</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find function f such that g(x)= 1/x-5 <BR>\n" );
document.write( "h=g o f, and h(x)=1/(x^2-5)\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #90023 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=90023\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find function f such that g(x)= 1/x-5 <BR>\n" );
document.write( "h=g o f, and h(x)=1/(x^2-5)\r<BR>\n" );
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document.write( "------------------------------<BR>\n" );
document.write( "h(x) = gof(x) = g[f(x)] = 1/[f(x)-5)]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "But h(x) = 1/(x^2-5)<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "1/[f(x)-5] = 1/[x^2-5]<BR>\n" );
document.write( "f(x)-5 = x^2-5<BR>\n" );
document.write( "f(x) = x^2<BR>\n" );
document.write( "================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );