document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=55891>Question 55891</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Composite Functions\r<BR>\n" );
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document.write( "Given f(x)=x^2-3x+4 ; g(x)=x+2\r<BR>\n" );
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document.write( "Find (f o g )(x)\r<BR>\n" );
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document.write( "     (g o f )(2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #37896 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=37896\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Composite Functions\r<BR>\n" );
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document.write( "Given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2-3x%2B4 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2-3x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > ; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=x%2B2 ALIGN=MIDDLE  ALT=\"g%28x%29=x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Find: <BR>\n" );
document.write( "For this one substitute g(x) into f(x):<BR>\n" );
document.write( "(f o g )(x)=f(g(x))=f(x+2)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%5E2-3%28x%2B2%29%2B4 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2-3%28x%2B2%29%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%28x%2B2%29-3%28x%2B2%29%2B4 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%28x%2B2%29-3%28x%2B2%29%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B2x%2B2x%2B4%29-3x-6%2B4 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B2x%2B2x%2B4%29-3x-6%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B4x%2B4-3x-6%2B4 ALIGN=MIDDLE  ALT=\"x%5E2%2B4x%2B4-3x-6%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28fog%29%28x%29=x%5E2%2Bx%2B2%29 ALIGN=MIDDLE  ALT=\"highlight%28%28fog%29%28x%29=x%5E2%2Bx%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "For this one substitute 2 into f(x) and f(2) into g(x):<BR>\n" );
document.write( "(g o f )(2)=g(f(2))=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28%282%29%5E2-3%282%29%2B4%29 ALIGN=MIDDLE  ALT=\"g%28%282%29%5E2-3%282%29%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%284-6%2B4%29 ALIGN=MIDDLE  ALT=\"g%284-6%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=g(2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%282%29=%282%29%2B2 ALIGN=MIDDLE  ALT=\"g%282%29=%282%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28gof%29%282%29=4%29 ALIGN=MIDDLE  ALT=\"highlight%28%28gof%29%282%29=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
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