document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=211168>Question 211168</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the domain of (x-5)/(x^2+5x+6) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #159517 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=159517\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Domain specifies the values of 'x' can take.<BR>\n" );
document.write( "In this case, you just want to make sure the denominator does NOT equal zero.<BR>\n" );
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document.write( "0 = (x^2+5x+6)<BR>\n" );
document.write( "0 = (x+2)(x+3)<BR>\n" );
document.write( "x = {-2,-3}<BR>\n" );
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document.write( "Therefore, the domain is<BR>\n" );
document.write( "all real numbers except -2 and -3.<BR>\n" );
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document.write( "Or, you can write as:<BR>\n" );
document.write( "(-oo, -3) U (-2, -3) U (-3, +oo)<BR>\n" );
document.write( "where oo is the infinity symbol<BR>\n" );
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