document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202652>Question 1202652</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given f(x) = x^2 +3, find and simplify the difference quotient ([f(x+h) - f(x)])/h.\r<BR>\n" );
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document.write( "What is the best way to go about solving this? I know I need to substitute the equations together like (x+h)^2 + 3 - (x^2=3)\r<BR>\n" );
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document.write( "I don't know if that substitution is correct. Any help with this problem would be greatly appreciated.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837602 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=837602\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given f(x) = x^2 +3, find and simplify the difference quotient ([f(x+h) - f(x)])/h.<BR>\n" );
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document.write( "f(x) = x^2 +3<BR>\n" );
document.write( "f(x+h) = (x+h)^2 + 3 = x^2 + 2hx + h^2 + 3<BR>\n" );
document.write( "Subtract f(x)<BR>\n" );
document.write( "---> x^2 + 2hx + h^2 + 3 - (x^2+3) = 2hx + h^2<BR>\n" );
document.write( "Divide by h ---> 2x + h </SPAN>\n" );
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