Question

F(x) = x+4
g(x) = 3x2 - 7



Find (f•g)(x)

Answer 1

3x³ + 12x² - 7x - 28

Explanation:

(f • g)(x) = f(x) × g(x)

= (x + 4)(3x² - 7)

Each term in the second factor is multiplied by each term in the first factor, that is

x(3x² - 7) + 4(3x² - 7 ) ← distribute both parenthesis

= 3x³ - 7x + 12x² - 28

= 3x³ + 12x² - 7x - 28