document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=128321>Question 128321</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 7. Let f(x) = to x squared - 6x + 9 ,g(x) = x - 3 find the following.<BR>\n" );
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document.write( "a.(f+g)(x)   b.(f-g)(x)   c.(fg)(x)    d. (f/g)(x)   e.(fog)(x)    <BR>\n" );
document.write( "f.(f-g)(5)      g.g{f(x)}     h. f{f(-3)}\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 #93931 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=93931\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f(x)+g(x)=\left(x^2-6x+9\right)+\left(x-3\right)\"> Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2-6x%2B9 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2-6x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=x-3 ALIGN=MIDDLE  ALT=\"g%28x%29=x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f(x)+g(x)=x^2+\left(-6x+x\right)+\left(9-3\right)\"> Group like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f(x)+g(x)=x^2-5x+6\"> Combine like terms\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE (f+g)(x)=x^2-5x+6\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f(x)-g(x)=\left(x^2-6x+9\right)-\left(x-3\right)\"> Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2-6x%2B9 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2-6x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=x-3 ALIGN=MIDDLE  ALT=\"g%28x%29=x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f(x)-g(x)=x^2-6x+9-x+3\"> Distribute the negative\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f(x)-g(x)=x^2-7x+12\"> Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE g(x)\ast f(x)=x\left(x^2-6x+9\right)-3\left(x^2-6x+9\right)\"> Expand the expression. Remember something like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bb%29%28c%2Bd%2Be%29 ALIGN=MIDDLE  ALT=\"%28a%2Bb%29%28c%2Bd%2Be%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > expands to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28c%2Bd%2Be%29%2Bb%28c%2Bd%2Be%29 ALIGN=MIDDLE  ALT=\"a%28c%2Bd%2Be%29%2Bb%28c%2Bd%2Be%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/rendertex.cgi?\LARGE \frac{f(x)}{g(x)}=\frac{x^2-6x+9}{x-3}\"> Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2-6x%2B9 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2-6x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=x-3 ALIGN=MIDDLE  ALT=\"g%28x%29=x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f\left(g(x)\right)=(x-3)^2-6(x-3)+9\"> Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=x-3 ALIGN=MIDDLE  ALT=\"g%28x%29=x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > into each x of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2-6x%2B9 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2-6x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f\left(g(x)\right)=x^2-6x+9-6(x-3)+9\"> Foil\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE g\left(f(x)\right)=(x^2-6x+9)-3\"> Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2-6x%2B9 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2-6x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" > into each x of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=x-3 ALIGN=MIDDLE  ALT=\"g%28x%29=x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f\left(f(-3)\right)=1089\"> Combine like terms\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f\left(f(-3)\right)=1089\">  </SPAN>\n" );
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