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

Let f (x) = 2x2 + x - 3 and g (x) = x + 2.

Find (f • g) (x).

A) x2 - 4x + 3

B) 2x3 - x2 + 4x - 3

C) 2x3 - 5x2 + 6

D) 2x3 + 5x2 - x - 6

D

Step-by-step explanation:

multiplying f (x) * g (x) = (2x² + x - 3) (x + 2)

multiply each term in the first factor by each term in the second factor

= x (2x² + x - 3) + 2 (2x² + x - 3) ← distributing gives

= 2x³ + x² - 3x + 4x² + 2x - 6 ← collect like terms

= 2x³ + 5x² - x - 6 → D