Question

The domain for f(x) and g(x) is the set of all real numbers.

Let f(x) = 3x + 5 and g(x) = x2.
Find (f − g)(x).


A) 3x^3 − 5x^2


B) x^2 − 3x − 5


C) −3x^3 − 5x^2


D) −x^2 + 3x + 5

Answer 1

D

Explanation:

note (f - g)(x) = f(x) - g(x) = 3x + 5 - x²

hence (f - g)(x) = - x² + 3x + 5 ← in standard form → D