Question

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

Find (fg)(x).

Answer 1

f(x) = 4x + 7
g(x) = 3x²

(f · g)(x) = 3x²(4x + 7)
(f · g)(x) = 3x²(4x) + 3x²(7)
(f · g)(x) = 12x³ + 21x²

Answer 2

Value of (fg)(x) is:

12x³+21x²

Explanation:

f(x) = 4x + 7, g(x) = 3x²

(fg)(x)=f(x)g(x)

=(4x+7)(3x²)

= 4x(3x²)+7(3x²)

= 12x³+21x²

Hence, value of (fg)(x) is:

12x³+21x²