document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=209391>Question 209391</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let  and  be two functions defined by \r<BR>\n" );
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document.write( "F(x)=x^2+x-12 <BR>\n" );
document.write( "g(x)=x^2-7x-8. \r<BR>\n" );
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document.write( "Find all values of x that are NOT in the domain of the function f/g.?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #158308 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=158308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Domain specifies the \"values\" 'x' can take.<BR>\n" );
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document.write( "F(x)=x^2+x-12<BR>\n" );
document.write( "g(x)=x^2-7x-8.<BR>\n" );
document.write( "Find all values of x that are NOT in the domain of the function f/g.?<BR>\n" );
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document.write( "f/g is therefore:<BR>\n" );
document.write( "(x^2+x-12)/(x^2-7x-8)<BR>\n" );
document.write( "The ONLY values x CAN'T take are values that make the denominator go to zero.<BR>\n" );
document.write( "Look for those by setting the denominator to zero and solving for x:<BR>\n" );
document.write( "x^2-7x-8 = 0<BR>\n" );
document.write( "(x-8)(x+1) = 0<BR>\n" );
document.write( "x = {-1, 8}<BR>\n" );
document.write( "So, the ONLY two values 'x' can't take is -1 and 8.<BR>\n" );
document.write( "Therefore, the domain is:<BR>\n" );
document.write( "(-oo, -1) U (-1, 8) U (8,+oo)<BR>\n" );
document.write( "OR, you could say:<BR>\n" );
document.write( "x: x all real numbers except -1 and 8<BR>\n" );
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