document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=560338>Question 560338</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find functions f and g such that f(g(x))=h(x)\r<BR>\n" );
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document.write( "a) h(x)=3x^2+7<BR>\n" );
document.write( "b) h(x)=|2x+9|<BR>\n" );
document.write( "c) h(x)=21x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #363843 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=363843\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find functions f and g such that f(g(x))=h(x) <BR>\n" );
document.write( "a) h(x)=3x^2+7<BR>\n" );
document.write( "Notice that the 1st thing that happens to \"x\" is that it gets squared.<BR>\n" );
document.write( "The result is then multiplied by 3 and 7 is then added<BR>\n" );
document.write( "--<BR>\n" );
document.write( "So g(x) = x^2<BR>\n" );
document.write( "and f(x) = 3x+7<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "b) h(x)=|2x+9|<BR>\n" );
document.write( "g(x) = 2x+9<BR>\n" );
document.write( "f(x) = |x|<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "c) h(x)=21x<BR>\n" );
document.write( "g(x) = 7x<BR>\n" );
document.write( "f(x) = 3x<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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