For each of the following functions, find the expression for f(x + h) − f(x) h . Simplify each of your expressions far enough so that plugging in h = 0 would be allowed.

(a) f(x) = x2 − 2x

(b) f(x) = 8x + 9

(c) f(x) = x2 − 7

(d) f(x) = 2 − x2

(e) f(x) = −x2 − 2

(f) f(x) = x − 3 (Hint: Rationalize the n