document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=604578>Question 604578</A>: <I><SPAN STYLE=\"word-break: break-all;\"> State the domain of the rational function. \r<BR>\n" );
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document.write( "g(x)= x-8/x+3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #381269 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=381269\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> State the domain of the rational function.<BR>\n" );
document.write( "g(x)= x-8/(x+3)<BR>\n" );
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document.write( "The \"domain\" specifies all possible values of x.<BR>\n" );
document.write( "In this case, you just want to make sure the denominator is not zero because dividing by zero is undefined.  <BR>\n" );
document.write( "So, we set the denominator to zero to find the value x can't take:<BR>\n" );
document.write( "x+3=0<BR>\n" );
document.write( "x = -3<BR>\n" );
document.write( "So, the domain is all real numbers except -3.  Or, you can state it like:<BR>\n" );
document.write( "(-oo, -3) U (-3, +oo)<BR>\n" );
document.write( "where <BR>\n" );
document.write( "oo stands for infinity<BR>\n" );
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