document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=900234>Question 900234</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find  (f(x+h)-f(x))/(h) for f(x)=-5/(x+2). I just don't know where to start. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #545835 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39623)</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=545835\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the definition of your function f in the difference quotient.  One of your function inputs is x, and the other function input is x+h.  This is a process of substitution and then simplification.  You just need to track carefully what you are substituting and the grouping levels.  \r<BR>\n" );
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document.write( "The general difference quotient is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%28x%2Bh%29-f%28x%29%29%2F%28h%29 ALIGN=MIDDLE  ALT=\"%28f%28x%2Bh%29-f%28x%29%29%2F%28h%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "YOUR function is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=-5%2F%28x%2B2%29 ALIGN=MIDDLE  ALT=\"f%28x%29=-5%2F%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "USING that definition for f, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2Bh%29=-5%2F%28x%2Bh%2B2%29 ALIGN=MIDDLE  ALT=\"f%28x%2Bh%29=-5%2F%28x%2Bh%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Form the difference quotient based on your f(x).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28-5%2F%28x%2Bh%2B2%29%29-%28-5%2F%28x%2B2%29%29%29%2Fh ALIGN=MIDDLE  ALT=\"%28%28-5%2F%28x%2Bh%2B2%29%29-%28-5%2F%28x%2B2%29%29%29%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the rest is just some algebra arithmetic steps. </SPAN>\n" );
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