document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118980>Question 118980</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find f(x+h)-f(x)/h where f(x)=x^2+4x+5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87095 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=87095\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{f(x+h)-f(x)}{h} = \frac{{f\left( {x + h } \right) - f\left( x \right)}}{h }\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{f(x+h)-f(x)}{h} = \frac{(x+h)^2+4(x+h)+5 -\left(x^2+4x+5\right)}{h }\"> Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2Bh%29=%28x%2Bh%29%5E2%2B4%28x%2Bh%29%2B5 ALIGN=MIDDLE  ALT=\"f%28x%2Bh%29=%28x%2Bh%29%5E2%2B4%28x%2Bh%29%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E2%2B4x%2B5 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E2%2B4x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{f(x+h)-f(x)}{h} = \frac{\left[x^2+2hx+h^2+4x+4h+5\right] -\left(x^2+4x+5\right)}{h }\"> Foil/Expand <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Bh%29%5E2%2B4%28x%2Bh%29%2B5 ALIGN=MIDDLE  ALT=\"%28x%2Bh%29%5E2%2B4%28x%2Bh%29%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{f(x+h)-f(x)}{h} = \frac{2hx+4h+h^2}{h }\"> Combine like terms (i.e. combine <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B4x%2B5%29-%28x%5E2%2B4x%2B5%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B4x%2B5%29-%28x%5E2%2B4x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get 0)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{f(x+h)-f(x)}{h} = \frac{h\left(2x+4+h\right)}{h }\"> Factor out an h\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{f(x+h)-f(x)}{h} = \frac{2x+4+h}{1}\"> Divide <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%2Fh ALIGN=MIDDLE  ALT=\"h%2Fh\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{f(x+h)-f(x)}{h} = 2x+4+h\"> Simplify\r<BR>\n" );
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