SOLUTION: Find each function f, construct and simplify the different quotient f(x+h)-f(x)/ h f(x)=x^2-3

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Question 269878: Find each function f, construct and simplify the different quotient
f(x+h)-f(x)/ h
f(x)=x^2-3
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
We know
f(x) = x^2 - 3
---
f(x+h) = (x+h)^2 - 3
----
So, we get
(f(x+h)-f(x))/ h = ((x+h)^2 - 3 - (x^2 - 3))/h
expanded gives us
%28x%5E2+%2B+2xh+%2B+h%5E2+-+3+-x%5E2+%2B+3%29%2Fh
and then
%282xh+%2B+h%5E2%29%2Fh
dividing by h, we get
2x+%2B+h