document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=638537>Question 638537</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have no idea how to begin this problem. Thanks for the help.\r<BR>\n" );
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document.write( "Find the domain <BR>\n" );
document.write( "f(x)=x/2x-6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #402258 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=402258\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the domain <BR>\n" );
document.write( "f(x)=x/2x-6<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The \"domain\" merely specifies all values that 'x' can take.<BR>\n" );
document.write( "The ONLY value x can't take is if it drives the denominator to zero.<BR>\n" );
document.write( "So, we set the denominator to zero and solve for x:<BR>\n" );
document.write( "2x-6 = 0<BR>\n" );
document.write( "2x = 6<BR>\n" );
document.write( "x = 3<BR>\n" );
document.write( "This is the ONLY value can't take.<BR>\n" );
document.write( "So, the domain is:<BR>\n" );
document.write( "(-oo, 3) U (3, +oo)<BR>\n" );
document.write( "where oo is for infinity </SPAN>\n" );
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