document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=817077>Question 817077</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you simplify and then find the domain for the rational function:\r<BR>\n" );
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document.write( "(9x^2-36)/(x+2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #491876 by </B><A HREF=/tutors/aboutme.mpl?userid=doodles><B>doodles(24)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=doodles><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=491876\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The domain is in essence defined by what x cannot be. In other words the denominator cannot not equal to 0, the reason being if the number the denominator is equal to 0 the answer is undefined. So, in this case \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289x%5E2-36%29%2F%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%289x%5E2-36%29%2F%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "What number will make the denominator 0? \r<BR>\n" );
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document.write( "In this case if x = 2 then the denominator will equal 0. Thus x cannot equal 2. This is also your domain.  \r<BR>\n" );
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document.write( "Now lets simplify. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289x%5E2-36%29+=+9+%28x%5E2-4%29+ ALIGN=MIDDLE  ALT=\"+%289x%5E2-36%29+=+9+%28x%5E2-4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "So our factor for the numerator is: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%29%28x-2%29%28x%2B2%29+ ALIGN=MIDDLE  ALT=\"+%289%29%28x-2%29%28x%2B2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Now we divide by cancelling similar terms like so: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%29cross%28x%2B2%29%28x-2%29%2Fcross%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%289%29cross%28x%2B2%29%28x-2%29%2Fcross%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Ultimately, our final answer is: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%29%28x-2%29 ALIGN=MIDDLE  ALT=\"%289%29%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >   <BR>\n" );
document.write( "  </SPAN>\n" );
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