document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29926>Question 29926</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given f(x)=x^3 and g(x) = 3+6x^2, find (g o f) (x)\r<BR>\n" );
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document.write( "Answers to choose from:<BR>\n" );
document.write( "(a) 3+6x^2/x^3<BR>\n" );
document.write( "(b) 3+6x^2/x^3<BR>\n" );
document.write( "(c) 3+6x^6<BR>\n" );
document.write( "(d) 3+6x^2\r<BR>\n" );
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document.write( "Please help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16707 by </B><A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><B>sdmmadam@yahoo.com(530)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><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=16707\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given f(x)=x^3 ----(1)<BR>\n" );
document.write( " and g(x) = 3+6x^2----(2)<BR>\n" );
document.write( " (g o f)(x) <BR>\n" );
document.write( "g(f(x))<BR>\n" );
document.write( "= g(x^3) (using (1))<BR>\n" );
document.write( "=g(t) where t = x^3<BR>\n" );
document.write( "=3 + 6t^2  (using (2) )<BR>\n" );
document.write( "=3 + 6[(x^3)^2]<BR>\n" );
document.write( "=3+6(x^6)   (using (a^m)^n = (a)^(mn) )<BR>\n" );
document.write( "=3[1+2(x^6)]\r<BR>\n" );
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document.write( "which is your choice (c)<BR>\n" );
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