Question

If f(x) = 2x2 + 2 and g(x) = x2 - 1, find (f - g)(x)I

A. 3x2 + 1
B. x + 1
C. x2 + 3
D. 3x2 + 3

Answer 1

9514 1404 393

Answer:

C. x^2 + 3

Explanation:

Substitute for f(x) and g(x) and simplify.

(f -g)(x) = f(x) -g(x)

(f -g)(x) = (2x^2 +2) -(x^2 -1) = 2x^2 +2 -x^2 +1

(f -g)(x) = x^2 +3