document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=260502>Question 260502</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the functions f(x) and g(x), determine the domain of (fg)(x) (the product of f and g). f(x)=2/x-12, g(x)=-6x-5. \r<BR>\n" );
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document.write( "a) x is a real number.<BR>\n" );
document.write( "b) x is a real number and x is not equal to 5.<BR>\n" );
document.write( "c) x is a real number and x is not equal to -12.<BR>\n" );
document.write( "d) x is a real number and x is not equal to 12.\r<BR>\n" );
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document.write( "If my understanding is correct, the answer would be option a. Is this correct? Please explain. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #191883 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=191883\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=2/(x-12), g(x)=-6x-5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28fg%29%28x%29+=+%28-12x-10%29%2F%28x-12%29 ALIGN=MIDDLE  ALT=\"%28fg%29%28x%29+=+%28-12x-10%29%2F%28x-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since there is an x in the denominator we set it = 0 and solve.<BR>\n" );
document.write( "x -12 = 0<BR>\n" );
document.write( "x = 12<BR>\n" );
document.write( "This tells us that our domain is all reals EXCEPT 12<BR>\n" );
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document.write( "based on the answers, it is [D] </SPAN>\n" );
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