document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140383>Question 1140383</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please explain:\r<BR>\n" );
document.write( "\n" );
document.write( "Find f(x) and g(x) such that h(x) = (f ∘ g)(x). h(x)=√(12x^2+21)\r<BR>\n" );
document.write( "\n" );
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 #760908 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=760908\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29=sqrt%2812x%5E2%2B21%29 ALIGN=MIDDLE  ALT=\"h%28x%29=sqrt%2812x%5E2%2B21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Choose <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=12x%5E2%2B21 ALIGN=MIDDLE  ALT=\"g%28x%29=12x%5E2%2B21\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=sqrt%28x%29 ALIGN=MIDDLE  ALT=\"f%28x%29=sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "h(x) may have other composed possibilities.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Another way:<BR>\n" );
document.write( "g(x)=x^2 and then f(x)=sqrt(12x+21) so composing f of g would be replace x with g=x^2,   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2812%28x%5E2%29%2B21%29 ALIGN=MIDDLE  ALT=\"sqrt%2812%28x%5E2%29%2B21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and small simplification step. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );