Question

Find and simplify.
f(x) = 5 − x^2
(a)f(x + h) − f(x)
(b)[f(x + h) − f(x)]/h
Thank You.

Answer 1

For (a):

f(x + h) - f(x)

f(x) = 5 - x^2

f(x + h) = 5 - (x + h)^2

Now we have:

[5 - (x + h)^2] - (5 - x^2)

For (b):

[5 - (x + h)^2] - (5 - x^2) / h

Simplify the above.

I'll let you take it from here.