SOLUTION: find f(a), f(a+h), and f(a+h)-f(a)/h for f(x)=x^2+4x-2

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Question 311328: find f(a), f(a+h), and f(a+h)-f(a)/h for f(x)=x^2+4x-2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=x%5E2%2B4x-2
.
.
f%28a%29=a%5E2%2B4a-2
.
.
f%28a%2Bh%29=%28a%2Bh%29%5E2%2B4%28a%2Bh%29-2
f%28a%2Bh%29=%28a%5E2%2B2ah%2Bh%5E2%29%2B4a%2B4h-2
.
.

f%28a%2Bh%29-f%28a%29=2ah%2Bh%5E2%2B4h
%28f%28a%2Bh%29-f%28a%29%29%2Fh=2a%2Bh%2B4
Then,
lim%28h-%3E0%2C%28%28f%28a%2Bh%29-f%28a%29%29%2Fh%29%29=2a%2B4