SOLUTION: If f(x) =x^2 + 5, find f(a+h)-f(a)

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Question 56716This question is from textbook
: If f(x) =x^2 + 5, find f(a+h)-f(a) This question is from textbook

Found 2 solutions by stanbon, funmath:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If f(x) =x^2 + 5, find f(a+h)-f(a)
f(a+h)= -(a+h)^2+5
=-(a^2+2ah+h^2)+5
=-a^2-2ah-h^2+5
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f(a)=-a^2+5
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Now, subtract f(a) from f(a+h) to get:
-2ah-h^2
Cheers,
Stan H.

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
If f%28x%29=x%5E2%2B5, find f(a+h)-f(a)
f%28a%2Bh%29=%28a%2Bh%29%5E2%2B5=a%5E2%2B2ah%2Bh%5E2%2B5
f%28a%29=a%5E2%2B5
f%28a%2Bh%29-f%28a%29=%28a%5E2%2B2ah%2Bh%5E2%2B5%29-%28a%5E2%2B5%29
f%28a%2Bh%29-f%28a%29=a%5E2%2B2ah%2Bh%5E2%2B5-a%5E2-5
f%28a%2Bh%29-f%28a%29=2ah%2Bh%5E2
Happy Calculating!!!