Given f(x) = 2x^2 – 2 and g(x) = –2x + 4, find the following.

Question

(f − g)(2)

AND
Given f(x) = 2x − 2 and g(x) = 4x − 5, evaluate the composite function.
f[g(2)]

Answer 1

(f-g)(2) = f(2) - g(2)
= 2*2^2-2 - (-2*2+4)
= 6 - 0
= 6

f(g(2) = 2*g(2) - 2
= 2(4*2-5)-2
= 2*3-2
= 4