Question

F(x+h)-f(x)

Find the difference quotient
h
where h# 0, for the function below.
f(x) = 4x? -
-8
Simplify your answer as much as possible.
f(x + h) - f(x)
:
h
Х
Okay

Answer 1

9514 1404 393

Answer:

8x +4h

Explanation:

`(f(x+h)-f(x))/(h)=((4(x+h)^2-8)-(4x^2-8))/(h)\\\\=((4x^2 +8xh+4h^2)-(4x^2-8))/(h)=(8xh+4h^2)/(h)\\\\=\boxed{8x+4h}`