document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=450798>Question 450798</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the domain of x+4/x^2+x-6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #311032 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=311032\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the domain of x+4/x^2+x-6<BR>\n" );
document.write( "..<BR>\n" );
document.write( "When we are trying to find the domain of a function, we are looking for x-values that would make the function invalid or undefined.  We know that if the denominator is = 0, the function is undefined. So, we set the denominator=0, and solve for the x-value(s) that make the denominator=0. When we find these x-values, we say they are not in the domain.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "setting denominator=0<BR>\n" );
document.write( "x^2+x-6=0<BR>\n" );
document.write( "solve by factoring<BR>\n" );
document.write( "(x+3)(x-2)=0<BR>\n" );
document.write( "x=-3<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=2<BR>\n" );
document.write( "We can now say, -3 and 2 are not in the domain.<BR>\n" );
document.write( "or All real numbers except -3 and 2<BR>\n" );
document.write( "or in interval notation: (-&#8734;,-3) U (-3, 2) U (2, &#8734;) </SPAN>\n" );
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