SOLUTION: Find f(x+h)-f(x)/h where f(x)=x^2+4x+5

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Question 118980: Find f(x+h)-f(x)/h where f(x)=x^2+4x+5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!




Plug in f%28x%2Bh%29=%28x%2Bh%29%5E2%2B4%28x%2Bh%29%2B5 and f%28x%29=x%5E2%2B4x%2B5


Foil/Expand %28x%2Bh%29%5E2%2B4%28x%2Bh%29%2B5



Combine like terms (i.e. combine %28x%5E2%2B4x%2B5%29-%28x%5E2%2B4x%2B5%29 to get 0)

Factor out an h

Divide h%2Fh to get 1

Simplify