Question

f(x)=x^2-4; g(x)=x+2
Which expression is equal to (f+g)(x)?

A)x^3+2x^2-4x-8

B) x^2+4x

C) x^2-2

D) x^2+x-2

Answer 1

If someone could explain how to get the answer that would help much better! Thank you

Answer 2

(f+g)(x) just means you're adding the functions f(x) and g(x). So:

(f+g)(x) = f(x) + g(x) = (x^2-4) + (x+2)

Simplify this and you'll have your answer!