document.write( "Question 242344: find f(x+h)/h-f(x)/h when f(x)=1/x+3 \n" ); document.write( "
Algebra.Com's Answer #177440 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
\"+f%28x%29=1%2F%28x%2B3%29+\"
\n" ); document.write( "\"+f%28x%2Bh%29=1%2F%28x%2Bh%2B3%29\"
\n" ); document.write( "\"+f%28x%2Bh%29-f%28x%29=1%2F%28x%2Bh%2B3%29-1%2F%28x%2B3%29\"
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\n" ); document.write( "\"+f%28x%2Bh%29-f%28x%29=%28%28x%2B3%29-%28x%2Bh%2B3%29%29%2F%28%28x%2B3%29%28x%2Bh%2B3%29%29\"
\n" ); document.write( "\"+f%28x%2Bh%29-f%28x%29=%28-h%29%2F%28%28x%2B3%29%28x%2Bh%2B3%29%29\"
\n" ); document.write( "\"+%28f%28x%2Bh%29-f%28x%29%29%2Fh=%28-1%29%2F%28%28x%2B3%29%28x%2Bh%2B3%29%29\"
\n" ); document.write( "When h-->0, then\r
\n" ); document.write( "\n" ); document.write( "\"+%28f%28x%2Bh%29-f%28x%29%29%2Fh=%28-1%29%2F%28%28x%2B3%29%5E2%29\"
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