document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1131456>Question 1131456</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You're given f(x)=x^2-x-12 and g(x)= x-4. Perform each function operation and find the domain. \r<BR>\n" );
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document.write( "f(x)-2g(x)? \r<BR>\n" );
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document.write( "f(x)xg(x)\r<BR>\n" );
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document.write( "f(x)/g(x)\r<BR>\n" );
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document.write( "g(x)/f(x)\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 #748141 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=748141\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2-x-12 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2-x-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=+x-4 ALIGN=MIDDLE  ALT=\"g%28x%29=+x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " Perform each function operation and find the domain. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29-2g%28x%29=x%5E2-x-12-2%28x-4%29 ALIGN=MIDDLE  ALT=\"f%28x%29-2g%28x%29=x%5E2-x-12-2%28x-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=f%28x%29-2g%28x%29=x%5E2-x-12-2x%2B8 ALIGN=MIDDLE  ALT=\"f%28x%29-2g%28x%29=x%5E2-x-12-2x%2B8\"   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=f%28x%29-2g%28x%29=x%5E2-3x-4 ALIGN=MIDDLE  ALT=\"f%28x%29-2g%28x%29=x%5E2-3x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "domain: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" > (all real numbers)\r<BR>\n" );
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document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-infinity ALIGN=MIDDLE  ALT=\"-infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   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=f%28x%29%2Ag%28x%29=%28x%5E2-x-12%29%28x-4%29 ALIGN=MIDDLE  ALT=\"f%28x%29%2Ag%28x%29=%28x%5E2-x-12%29%28x-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=f%28x%29%2Ag%28x%29=x%5E3-x%5E2-12x-4x%5E2%2B4x%2B48 ALIGN=MIDDLE  ALT=\"f%28x%29%2Ag%28x%29=x%5E3-x%5E2-12x-4x%5E2%2B4x%2B48\"   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=f%28x%29%2Ag%28x%29=x%5E3-5x%5E2-8x%2B48 ALIGN=MIDDLE  ALT=\"f%28x%29%2Ag%28x%29=x%5E3-5x%5E2-8x%2B48\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "domain: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" > (all real numbers)\r<BR>\n" );
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document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-infinity ALIGN=MIDDLE  ALT=\"-infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   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=f%28x%29%2Fg%28x%29=%28x%5E2-x-12%29%2F%28x-4%29 ALIGN=MIDDLE  ALT=\"f%28x%29%2Fg%28x%29=%28x%5E2-x-12%29%2F%28x-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=f%28x%29%2Fg%28x%29=%28x%5E2-4x%2B3x-12%29%2F%28x-4%29 ALIGN=MIDDLE  ALT=\"f%28x%29%2Fg%28x%29=%28x%5E2-4x%2B3x-12%29%2F%28x-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=f%28x%29%2Fg%28x%29=%28%28x%5E2-4x%29%2B%283x-12%29%29%2F%28x-4%29 ALIGN=MIDDLE  ALT=\"f%28x%29%2Fg%28x%29=%28%28x%5E2-4x%29%2B%283x-12%29%29%2F%28x-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=f%28x%29%2Fg%28x%29=%28x%28x-4%29%2B3%28x-4%29%29%2F%28x-4%29 ALIGN=MIDDLE  ALT=\"f%28x%29%2Fg%28x%29=%28x%28x-4%29%2B3%28x-4%29%29%2F%28x-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=f%28x%29%2Fg%28x%29=%28%28x%2B3%29cross%28%28x-4%29%29%29%2Fcross%28%28x-4%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29%2Fg%28x%29=%28%28x%2B3%29cross%28%28x-4%29%29%29%2Fcross%28%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> we can cancel <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;\" >, but it will be used for a domain\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29%2Fg%28x%29=x%2B3 ALIGN=MIDDLE  ALT=\"f%28x%29%2Fg%28x%29=x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "domain:\r<BR>\n" );
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document.write( "{ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > element <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" > : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E4 ALIGN=MIDDLE  ALT=\"x%3C%3E4\"   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=g%28x%29%2Ff%28x%29=%28x-4%29%2F%28x%5E2-x-12%29 ALIGN=MIDDLE  ALT=\"g%28x%29%2Ff%28x%29=%28x-4%29%2F%28x%5E2-x-12%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=g%28x%29%2Ff%28x%29=cross%28%28x-4%29%29%2F%28%28x%2B3%29cross%28%28x-4%29%29%29 ALIGN=MIDDLE  ALT=\"g%28x%29%2Ff%28x%29=cross%28%28x-4%29%29%2F%28%28x%2B3%29cross%28%28x-4%29%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=g%28x%29%2Ff%28x%29=1%2F%28x%2B3%29 ALIGN=MIDDLE  ALT=\"g%28x%29%2Ff%28x%29=1%2F%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "domain:\r<BR>\n" );
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document.write( "{ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > element <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R ALIGN=MIDDLE  ALT=\"R\"   DISABLED_style= \"max-width:90%; height:auto;\" > : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E4 ALIGN=MIDDLE  ALT=\"x%3C%3E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-3 ALIGN=MIDDLE  ALT=\"x%3C%3E-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > }\r<BR>\n" );
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