SOLUTION: Given f(x)=X^2+3 find and simplify the difference quotient [f(x+h)-f(x)]/h I know I need to substitute the different equations and I came up with... (x+h)^2+3-(x^2+3) I am

Question 1202651: Given f(x)=X^2+3 find and simplify the difference quotient [f(x+h)-f(x)]/h
I know I need to substitute the different equations and I came up with...
(x+h)^2+3-(x^2+3)
I am unaware if this substitution is even right or not but any help solving the problem will be greatly appreciated.

Found 2 solutions by Alan3354, mananth:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Duplicate
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Difference quotient of f(x) =
Substitute x with x+h

We have to find the difference quotient for the function.

=

=
=
= h(2x+h)/h
= 2x+h
Therefore, the difference quotient is 2x + h.

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