Question

Given f(x)=9+x and g(x)=3x-2, evaluate: fg(x)

Answer 1

(f*g)(x) = 3x^2 + 25x - 18

Explanation:

(f*g)(x) represents the product of the two functions f and g:

(f*g)(x) = 27x - 18 + 3x^2 - 2x, or, after simplification,

(f*g)(x) = 25x - 18 + 3x^2, or

(f*g)(x) = 3x^2 + 25x - 18