document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=123559>Question 123559</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am practicing finding the domain of an expression in interval notation. A particular problem has brought confusion\r<BR>\n" );
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document.write( "radical x(square)-7x-18/x-12\r<BR>\n" );
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document.write( "I know that the denomenator cannot be zero, otherwise it would be undefined. So would the answer be  [-9,2] U [2,infinity)  and x cannot =12     ? <BR>\n" );
document.write( "Am I on the right track with this?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #90636 by </B><A HREF=/tutors/aboutme.mpl?userid=chitra><B>chitra(359)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chitra><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=90636\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Can you tell me if this is the right problem? \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x%5E2+-+7x+-+18%29%2F%28x+-+12%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x%5E2+-+7x+-+18%29%2F%28x+-+12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To calculate the domain for such kind of functions with radical signs we just consider the function in the denominator. \r<BR>\n" );
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document.write( "So the function in the denominator is x - 12. We now check the number which makes the denominator zero. That is 12. Hence the domain of this function would be the set of all real numbers except.\r<BR>\n" );
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document.write( "so in interval notation it would be: [-infinity, 12) U (12, infinity] \r<BR>\n" );
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document.write( "Coming to the numerator. The values that make this function zero are 9, -2 \r<BR>\n" );
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document.write( "Hence, the interval notation is [infinity,-2) U (-2,9) U (9, infinity]  </SPAN>\n" );
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