Question

How do I solve a function if I'm not given the function of h(x)?
f(x)=x^2+2, find f(x+h)

Answer 1

Just substitute x+h in the place of x

Answer 2

okay, it really is that easy?

Answer 3

Yes.

Answer 4

so then it's just (x+h)^2 + 2?

Answer 5

Yes

Answer 6

if im trying to find f(x+h)-f(x) would it be (x+h)^2+2-x^2+2?

Answer 7

Don't forget to distribute the negative sign.
(x+h)^2+2-(x^2+2) = (x+h)^2+2-x^2-2

Answer 8

the last term would be -2 and not +2

Answer 9

Anyone else smell a difference quotient coming?

Answer 10

great, thanks!

Answer 11

:)