document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=965270>Question 965270</A>: <I><SPAN STYLE=\"word-break: break-all;\"> for f(x)=4x and g(x)=^4-8, find each of the following<BR>\n" );
document.write( "a. (g*f)(-2)<BR>\n" );
document.write( "b. (f*g)(2)<BR>\n" );
document.write( "c. (g*f)(x) simplify<BR>\n" );
document.write( "d. (f*g)(x) simplify </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #590000 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=590000\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=4x ALIGN=MIDDLE  ALT=\"f%28x%29=4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=x%5E4-8 ALIGN=MIDDLE  ALT=\"g%28x%29=x%5E4-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "a. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g%2Af%29%28-2%29 ALIGN=MIDDLE  ALT=\"%28g%2Af%29%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%2Ag%29%28x%29=f%28x%29%2Ag%28x%29 ALIGN=MIDDLE  ALT=\"%28f%2Ag%29%28x%29=f%28x%29%2Ag%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you are multiplying the functions: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%2Ag%29%28-2%29=4x%2A%28x%5E4-8%29 ALIGN=MIDDLE  ALT=\"%28f%2Ag%29%28-2%29=4x%2A%28x%5E4-8%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=%28f%2Ag%29%28-2%29=4x%5E5-32x%29 ALIGN=MIDDLE  ALT=\"%28f%2Ag%29%28-2%29=4x%5E5-32x%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=%28f%2Ag%29%28-2%29=4%28-2%29%5E5-32%28-2%29%29 ALIGN=MIDDLE  ALT=\"%28f%2Ag%29%28-2%29=4%28-2%29%5E5-32%28-2%29%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=%28f%2Ag%29%28-2%29=4%28-32%29%2B64 ALIGN=MIDDLE  ALT=\"%28f%2Ag%29%28-2%29=4%28-32%29%2B64\"   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=%28f%2Ag%29%28-2%29=-128%2B64 ALIGN=MIDDLE  ALT=\"%28f%2Ag%29%28-2%29=-128%2B64\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%2Ag%29%282%29 ALIGN=MIDDLE  ALT=\"%28f%2Ag%29%282%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=%28f%2Ag%29%282%29=4x%2A%28x%5E4-8%29 ALIGN=MIDDLE  ALT=\"%28f%2Ag%29%282%29=4x%2A%28x%5E4-8%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=%28f%2Ag%29%282%29=4x%5E5-32x%29 ALIGN=MIDDLE  ALT=\"%28f%2Ag%29%282%29=4x%5E5-32x%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=%28f%2Ag%29%282%29=4%282%29%5E5-32%28-2%29%29 ALIGN=MIDDLE  ALT=\"%28f%2Ag%29%282%29=4%282%29%5E5-32%28-2%29%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=%28f%2Ag%29%282%29=4%2832%29%2B64 ALIGN=MIDDLE  ALT=\"%28f%2Ag%29%282%29=4%2832%29%2B64\"   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=%28f%2Ag%29%282%29=128%2B64 ALIGN=MIDDLE  ALT=\"%28f%2Ag%29%282%29=128%2B64\"   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=%28f%2Ag%29%282%29=192 ALIGN=MIDDLE  ALT=\"%28f%2Ag%29%282%29=192\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "c. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g%2Af%29%28x%29 ALIGN=MIDDLE  ALT=\"%28g%2Af%29%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%2Ag%29%28x%29=4x%2A%28x%5E4-8%29 ALIGN=MIDDLE  ALT=\"%28f%2Ag%29%28x%29=4x%2A%28x%5E4-8%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=%28f%2Ag%29%28x%29=4x%5E5-32x%29 ALIGN=MIDDLE  ALT=\"%28f%2Ag%29%28x%29=4x%5E5-32x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "d. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%2Ag%29%28x%29 ALIGN=MIDDLE  ALT=\"%28f%2Ag%29%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> will be same as c. by commutative property of multiplication\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );