SOLUTION: If f(x) = x(x+2), find (f(x+h)-f(x-h))/2h

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Question 966469: If f(x) = x(x+2), find (f(x+h)-f(x-h))/2h
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

If f%28x%29+=+x%28x%2B2%29, find %28f%28x%2Bh%29-f%28x-h%29%29%2F2h
first find

f%28x-h%29=%28x-h%29%28%28x-h%29%2B2%29=%28x-h%29%28x-h%2B2%29=h%5E2-2hx-2h%2Bx%5E2%2B2x
then you have:


%28f%28x%2Bh%29-f%28x-h%29%29%2F2h=%284hx%2B4h%29%2F2h
%28f%28x%2Bh%29-f%28x-h%29%29%2F2h=4h%28x%2B1%29%2F2h
%28f%28x%2Bh%29-f%28x-h%29%29%2F2h=2%28x%2B1%29