document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214736>Question 214736</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have to find the composition of functions! Can't figure this one out either!\r<BR>\n" );
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document.write( "g(x)=3/(x-1)     f(x)=(x-1)/(x-3)       find (fog)(x)\r<BR>\n" );
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document.write( "Again, thanks!!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162174 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=162174\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE (f \circ g)(x)\"> is another way of saying <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x-1%29%2F%28x-3%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-1%29%2F%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given function.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29=%283%2F%28x-1%29-1%29%2F%283%2F%28x-1%29-3%29 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=%283%2F%28x-1%29-1%29%2F%283%2F%28x-1%29-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=3%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"g%28x%29=3%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note: this involves replacing 'x' on the left side with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29 ALIGN=MIDDLE  ALT=\"g%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and replacing each 'x' on the right side with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"3%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29=%28cross%28%28x-1%29%29%283%2Fcross%28%28x-1%29%29%29-1%28x-1%29%29%2F%28cross%28%28x-1%29%29%283%2Fcross%28%28x-1%29%29%29-3%28x-1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply EVERY term by the inner LCD <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1 ALIGN=MIDDLE  ALT=\"x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > to clear out the inner fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29=%283-%28x-1%29%29%2F%283-3%28x-1%29%29 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=%283-%28x-1%29%29%2F%283-3%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29=%283-x%2B1%29%2F%283-3x%2B3%29 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=%283-x%2B1%29%2F%283-3x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29=%28-x%2B4%29%2F%28-3x%2B6%29 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=%28-x%2B4%29%2F%28-3x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE (f \circ g)(x)=\frac{-x+4}{-3x+6}\"> </SPAN>\n" );
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