document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1043660>Question 1043660</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given: f(x)= 5x^2-7x+3 and g(x)= 4x+9;\r<BR>\n" );
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document.write( "Find:<BR>\n" );
document.write( "a. (fog)(x)<BR>\n" );
document.write( "b. (gof)(x)<BR>\n" );
document.write( "c. Find functions f and g such that f{g(x)}=h(x); h(x)=(2x+3)^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #658837 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=658837\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> That is better.  You are dealing with the composition of functions.  You have f and g given.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29=5%284x%2B9%29%5E2-7%284x%2B9%29%2B3 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=5%284x%2B9%29%5E2-7%284x%2B9%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is just using g as the input for f.\r<BR>\n" );
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document.write( "...and then simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2816x%5E2%2B72x%2B81%29-28x-63%2B3 ALIGN=MIDDLE  ALT=\"5%2816x%5E2%2B72x%2B81%29-28x-63%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80x%5E2%2B360x%2B81-28x-60 ALIGN=MIDDLE  ALT=\"80x%5E2%2B360x%2B81-28x-60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2880x%5E2%2B332x%2B21%29 ALIGN=MIDDLE  ALT=\"highlight%2880x%5E2%2B332x%2B21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28f%28x%29%29=4%285x%5E2-7x%2B3%29%2B9 ALIGN=MIDDLE  ALT=\"g%28f%28x%29%29=4%285x%5E2-7x%2B3%29%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20x%5E2-28x%2B12%2B9 ALIGN=MIDDLE  ALT=\"20x%5E2-28x%2B12%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2820x%5E2-28x%2B21%29 ALIGN=MIDDLE  ALT=\"highlight%2820x%5E2-28x%2B21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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