document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=940596>Question 940596</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Express the function y= sqrtx^2+5 as a composition y=f(g(x)) of two simpler functions y=f(u) and u=g(x).\r<BR>\n" );
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document.write( "I got g(x)= x^2+5 and f(x)= sqrtx<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 #573302 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=573302\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> That's correct, since f(g(x)) = f(x^2 + 5) = sqrt(x^2 + 5).\r<BR>\n" );
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document.write( "However the answer is not unique. For example g(x) = x^2 and f(x) = sqrt(x+5) also works. </SPAN>\n" );
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