document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1134031>Question 1134031</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 12 pts)  Let  f (x) = 3x2 + 4x  -  8 and  g(x) = 3  -  2x. \r<BR>\n" );
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document.write( "a.	Evaluate the function (g  -  f)(x)  for x =  -  4. That is, find (g  -  f)(  -  4). Show work.\r<BR>\n" );
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document.write( "b.	Evaluate the function (fg)(x) for x =  -  4. That is, find (f g)(  -  4). Show work.\r<BR>\n" );
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document.write( "c.	Show the difference function (f  -  g)(x). Simplify the function as much as possible. Show work.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #751322 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=751322\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f+%28x%29+=+3x%5E2+%2B+4x+-+8+ ALIGN=MIDDLE  ALT=\"f+%28x%29+=+3x%5E2+%2B+4x+-+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" >and<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g%28x%29+=+3+-+2x ALIGN=MIDDLE  ALT=\"+g%28x%29+=+3+-+2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "a.	Evaluate the function \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g+-+f%29%28x%29 ALIGN=MIDDLE  ALT=\"%28g+-+f%29%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-+4 ALIGN=MIDDLE  ALT=\"+x+=+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >. .....first find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g+-+f%29%28x%29 ALIGN=MIDDLE  ALT=\"%28g+-+f%29%28x%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=%28g+-+f%29%28x%29=3+-+2x-%28+3x%5E2+%2B+4x+-+8%29 ALIGN=MIDDLE  ALT=\"%28g+-+f%29%28x%29=3+-+2x-%28+3x%5E2+%2B+4x+-+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=%28g+-+f%29%28x%29=3+-+2x-+3x%5E2+-+4x+%2B+8 ALIGN=MIDDLE  ALT=\"%28g+-+f%29%28x%29=3+-+2x-+3x%5E2+-+4x+%2B+8\"   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=%28g+-+f%29%28x%29=+-+3x%5E2+-+6x+%2B+11 ALIGN=MIDDLE  ALT=\"%28g+-+f%29%28x%29=+-+3x%5E2+-+6x+%2B+11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "no find find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g+-+f%29%28+-+4%29 ALIGN=MIDDLE  ALT=\"%28g+-+f%29%28+-+4%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=%28g+-+f%29%28-4%29=+-+3%28-4%29%5E2+-+6%28-4%29+%2B+11 ALIGN=MIDDLE  ALT=\"%28g+-+f%29%28-4%29=+-+3%28-4%29%5E2+-+6%28-4%29+%2B+11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g+-+f%29%28-4%29=+-+3%2816%29+%2B+24+%2B+11 ALIGN=MIDDLE  ALT=\"%28g+-+f%29%28-4%29=+-+3%2816%29+%2B+24+%2B+11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g+-+f%29%28-4%29=+-+48+%2B+35 ALIGN=MIDDLE  ALT=\"%28g+-+f%29%28-4%29=+-+48+%2B+35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g+-+f%29%28-4%29=+-13 ALIGN=MIDDLE  ALT=\"%28g+-+f%29%28-4%29=+-13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b.	Evaluate the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28fg%29%28x%29 ALIGN=MIDDLE  ALT=\"%28fg%29%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-+4 ALIGN=MIDDLE  ALT=\"x+=+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g+%2Af%29%28x%29=%283+-+2x%29%28+3x%5E2+%2B+4x+-+8%29 ALIGN=MIDDLE  ALT=\"%28g+%2Af%29%28x%29=%283+-+2x%29%28+3x%5E2+%2B+4x+-+8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g+%2Af%29%28x%29=+9x%5E2+%2B+12x+-+24-6x%5E3-8x%5E2%2B16x ALIGN=MIDDLE  ALT=\"%28g+%2Af%29%28x%29=+9x%5E2+%2B+12x+-+24-6x%5E3-8x%5E2%2B16x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g+%2Af%29%28x%29=-6x%5E3%2B+x%5E2+%2B+28x+-+24 ALIGN=MIDDLE  ALT=\"%28g+%2Af%29%28x%29=-6x%5E3%2B+x%5E2+%2B+28x+-+24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f+%2Ag%29%28+-+4%29 ALIGN=MIDDLE  ALT=\"%28f+%2Ag%29%28+-+4%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=%28g+%2Af%29%28-4%29=-6%28-4%29%5E3%2B+%28-4%29%5E2+%2B+28%28-4%29+-+24 ALIGN=MIDDLE  ALT=\"%28g+%2Af%29%28-4%29=-6%28-4%29%5E3%2B+%28-4%29%5E2+%2B+28%28-4%29+-+24\"   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=%28g+%2Af%29%28-4%29=-6%28-64%29%2B+16+-112+-+24 ALIGN=MIDDLE  ALT=\"%28g+%2Af%29%28-4%29=-6%28-64%29%2B+16+-112+-+24\"   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=%28g+%2Af%29%28-4%29=384%2B+16+-112+-+24 ALIGN=MIDDLE  ALT=\"%28g+%2Af%29%28-4%29=384%2B+16+-112+-+24\"   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=%28g+%2Af%29%28-4%29=264 ALIGN=MIDDLE  ALT=\"%28g+%2Af%29%28-4%29=264\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "c.	Show the difference function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f+-+g%29%28x%29 ALIGN=MIDDLE  ALT=\"%28f+-+g%29%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Simplify the function as much as possible. Show work. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g+-+f%29%28x%29=g%28x%29-f%28x%29 ALIGN=MIDDLE  ALT=\"%28g+-+f%29%28x%29=g%28x%29-f%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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