document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=134680>Question 134680</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130797685/algebrahomeworkh>College Mathematics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The question reads:\r<BR>\n" );
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document.write( "Find and simplify:\r<BR>\n" );
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document.write( "[f(a+h)-f(a)]/h where f(x)=1/x\r<BR>\n" );
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document.write( "What I think I'm to do would be to replace \"f\" with 1/x\r<BR>\n" );
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document.write( "Thank you for your help with this problem. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #98519 by </B><A HREF=/tutors/aboutme.mpl?userid=rajagopalan><B>rajagopalan(174)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rajagopalan><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=rajagopalan><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=98519\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=1/x <BR>\n" );
document.write( "f(a+h)=1/(a+h)<BR>\n" );
document.write( "f(a)=1/a<BR>\n" );
document.write( "f(a+h)-f(a)=((1/(a+h))-(1/a)<BR>\n" );
document.write( "...........=(a-(a+h))/(a*(a+h))<BR>\n" );
document.write( "...........=-h/(a(a+h)<BR>\n" );
document.write( "so [f(a+h)-f(a)]/h=-h/(a(a+h) divided by h<BR>\n" );
document.write( "=-1/(a(a+h))\r<BR>\n" );
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document.write( " </SPAN>\n" );
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