document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=468387>Question 468387</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me find the domain of this function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4%2F%28x%5E2%2Bx-6%29 ALIGN=MIDDLE  ALT=\"x%5E4%2F%28x%5E2%2Bx-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #321383 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=321383\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The domain specifies all values that makes sense for 'x'.<BR>\n" );
document.write( "You only have to eliminate numbers that drives the denominator to zero.<BR>\n" );
document.write( "x^2+x-6 = 0<BR>\n" );
document.write( "(x-3)(x+2) = 0<BR>\n" );
document.write( "x = {-2,3}  (these are the numbers that must be eliminated)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "thus the domain (in interval notation) is<BR>\n" );
document.write( "(-oo, -2) U (-2,3) U (3, +oo)<BR>\n" );
document.write( "where<BR>\n" );
document.write( "oo is infinity<BR>\n" );
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