document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=929567>Question 929567</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if f(x)= 9/ (x-6) and g(x)= 3/x, find (f o g)(x) and the domain of f o g.<BR>\n" );
document.write( "I got 3/(1-2x) but im not sure if thats correct. can you simplify it further? and for my domain i got (x cannot equal o,6,.5,) im pretty sure i did the domain incorrectly. Please help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #564356 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=564356\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You should have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%29%2F%281-2x%29 ALIGN=MIDDLE  ALT=\"%283x%29%2F%281-2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for your (f o g)(x) when everything is completely simplified. \r<BR>\n" );
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document.write( "You'll find that x cannot be zero (due to the division by zero error in g(x)) and that x cannot be 1/2 (due to the division by zero error in (f o g)(x)). \r<BR>\n" );
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document.write( "It turns out that x = 6 works just fine in both g(x) and (f o g)(x), so x = 6 is allowed in the domain of the composite function.\r<BR>\n" );
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document.write( "The value x = 6 doesn't work in f(x), but that doesn't matter as the x-6 turns into 1-2x when we get to (f o g)(x).  </SPAN>\n" );
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