document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=964496>Question 964496</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Need help with solving problem:  Given f(x)=1/x and (f/g)(x)=(x-2)/(x^2+7x), find the function g. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #589361 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=589361\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Dividing function f by function g must result in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%2F%28x%5E2%2B7x%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%2F%28x%5E2%2B7x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "I use here g for g(x), the unknown function.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%2Fg=%281%2Fx%29%2Fg=%28x-2%29%2F%28x%5E2%2B7x%29 ALIGN=MIDDLE  ALT=\"f%2Fg=%281%2Fx%29%2Fg=%28x-2%29%2F%28x%5E2%2B7x%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=1%2F%28x%2Ag%29=%28x-2%29%2F%28x%5E2%2B7x%29 ALIGN=MIDDLE  ALT=\"1%2F%28x%2Ag%29=%28x-2%29%2F%28x%5E2%2B7x%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=xg=%28x%5E2%2B7x%29%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"xg=%28x%5E2%2B7x%29%2F%28x-2%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=highlight%28g=%28x%5E2%2B7x%29%2F%28x%28x-2%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28g=%28x%5E2%2B7x%29%2F%28x%28x-2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and do not simplify this any further, because doing so will change part of the meaning of the function g.  g(x) currently is shown to have vertical asymtptote for x=0, and for x=2. </SPAN>\n" );
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