Question

F(x) = 3x + 6, g(x) = 2x2 Find (fg)(x).

Answer 1

(3x+6)(2x^2), using the distributive property, equals 2x^2*3x+2x^2*6. We multiply the 2 with the coefficients and add a power of x if multiplied by x, getting 6x^3+12x^2

Answer 2

(fg)(x) = 12x³ + 12x²

Explanation:

Given f(x) = 3x + 6 and g(x) = 2x²

To find (fg)(x), we multiply g(x) with f(x)

(fg)(x)

(3x + 6) *( 2x²)

(3x) ( 2x²) + 6*2x²

6x³ + 12x²

hence (fg)(x) = 6x³ + 12x²