document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=407687>Question 407687</A>: <I><SPAN STYLE=\"word-break: break-all;\"> help with a question<BR>\n" );
document.write( "how to find the domain of f(x)/g(x)  g(x)= x+2/x-4     f(x)=x^2+6<BR>\n" );
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document.write( "x^2 + 6 / x+2/x-4\r<BR>\n" );
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document.write( "I believe that I have to multiply both sides by x-4<BR>\n" );
document.write( "but I am really lost on a problem like this and do not understand. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #287343 by </B><A HREF=/tutors/aboutme.mpl?userid=graphmatics><B>graphmatics(170)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=graphmatics><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=graphmatics><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=287343\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)/g(x) = ((x+2)/(x-4))/((x^2+6)/(1))<BR>\n" );
document.write( "f(x)/g(x) = ((x+2)/(x-4))*(1)/(x^2+6)<BR>\n" );
document.write( "          =  ((x+2)*(1))/((x-4)*(x^2+6))\r<BR>\n" );
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document.write( "a point is not in the domain if (x-4)*(x^2+6) = 0.<BR>\n" );
document.write( "This is because dividing by 0 is undefined.<BR>\n" );
document.write( "x^2+6 > 0 for each x. If x = 4 then (4-4)*(x^2+6) = 0<BR>\n" );
document.write( "so the domain is every x except x = 4\r<BR>\n" );
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