document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1043729>Question 1043729</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let C(x)=(1+x^2)^3.  Find the functions f and g so that C(x)=(f o g)(x) is true for all values of x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #658887 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=658887\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Let C(x)=(1+x^2)^3. Find the functions f and g so that C(x)=(f o g)(x) is true for all values of x. <BR>\n" );
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document.write( "g(x) = 1+x^2<BR>\n" );
document.write( "f(x) = x^3<BR>\n" );
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document.write( "fog(x) = f(g(x)) = f(1+x^2) = (1+x^2)^3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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