document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=81404>Question 81404</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If F(x) = 3x^2 - 5x and G(x) = 2x - 4, find G of F(2) and F of G(2)\r<BR>\n" );
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document.write( "I'm having trouble with this problem. Any help is appreciated. Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #58315 by </B><A HREF=/tutors/aboutme.mpl?userid=SMM52091><B>SMM52091(3)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=SMM52091><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=58315\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In order to find g(f(2)), just find f(2) and then g() it. For example...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+3x%5E2+-+5x ALIGN=MIDDLE  ALT=\"f%28x%29+=+3x%5E2+-+5x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29+=+3%282%5E2%29+-+5%282%29 ALIGN=MIDDLE  ALT=\"f%282%29+=+3%282%5E2%29+-+5%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29+=+3%284%29+-+10 ALIGN=MIDDLE  ALT=\"f%282%29+=+3%284%29+-+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29+=+12+-+10 ALIGN=MIDDLE  ALT=\"f%282%29+=+12+-+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29+=+2 ALIGN=MIDDLE  ALT=\"f%282%29+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Please note that f(2) equaling 2 is just a coincidence.\r<BR>\n" );
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document.write( "So the question asks for g(f(2)). Since f(2) equals 2, then g(f(2)) is the same thing as g(2). Now apply the g formula.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+2x+-+4 ALIGN=MIDDLE  ALT=\"g%28x%29+=+2x+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%282%29+=+2%282%29+-+4 ALIGN=MIDDLE  ALT=\"g%282%29+=+2%282%29+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%282%29+=+4+-+4 ALIGN=MIDDLE  ALT=\"g%282%29+=+4+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%282%29+=+0 ALIGN=MIDDLE  ALT=\"g%282%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So g(f(2)) = 0. \r<BR>\n" );
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document.write( "Now just because g(f(2)) equals 0 doesnt mean f(g(2)) equals 0. You need to redo it for the second problem, just in a different way. Find g(2) and then f() it.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+2x+-+4 ALIGN=MIDDLE  ALT=\"g%28x%29+=+2x+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%282%29+=+2%282%29+-+4 ALIGN=MIDDLE  ALT=\"g%282%29+=+2%282%29+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%282%29+=+4+-+4 ALIGN=MIDDLE  ALT=\"g%282%29+=+4+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%282%29+=+0 ALIGN=MIDDLE  ALT=\"g%282%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since g(2) = 0, then f(g(2)) is the same thing as f(0). So find the function of 0 with the f(x) formula.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+3x%5E2+-+5x ALIGN=MIDDLE  ALT=\"f%28x%29+=+3x%5E2+-+5x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%280%29+=+3%280%5E2%29-+5%280%29 ALIGN=MIDDLE  ALT=\"f%280%29+=+3%280%5E2%29-+5%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%280%29+=+3%280%29+-+0 ALIGN=MIDDLE  ALT=\"f%280%29+=+3%280%29+-+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%280%29+=+0+-+0 ALIGN=MIDDLE  ALT=\"f%280%29+=+0+-+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%280%29+=+0 ALIGN=MIDDLE  ALT=\"f%280%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So f(g(2)) = 0<BR>\n" );
document.write( "Hope I could help </SPAN>\n" );
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