use the functions f(x) and g(x) to answer the question. f(x) = x2+3; g(x) =6x which expression is equal to (fg)(x)

Question

use the functions f(x) and g(x) to answer the question.

f(x) = x2+3; g(x) =6x

which expression is equal to (fg)(x)

Answer 1

The function (fg(x)) is a multiplicative function, meaning we will be multiplying the two functions together.  If we multiply f(x) and g(x) together, we get:

 

(fg(x)) = (x² + 3)(6x)

(fg(x)) = 6x³ + 18x