Question

What is (f + g)(x)?

f(x) = x^3 - x
g(x) = x^3 + 2x^2 - 10

(f + g)(x) = _______

Answer 1

2x^3 + 2x^2 - x - 10

Explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x) = x^3 + x^3 + 2x^2 - x - 10

Combine like terms.

f(x) + g(x) = 2x^3 + 2x^2 - x - 10

Since we made it clear that f(x) + g(x) = (f + g)(x)...

(f + g)(x) = 2x^3 + 2x^2 - x - 10