Question

If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (fx g)(x)?

(3x + 2)(x^2 + 1)
3x^2 + 1 + 2
(3x + 2)2 + 1
3(x 2 + 1) + 2

Answer 1

`(3x + 2)( {x}^(2) + 1)`

Explanation:

The given functions are

`f(x) = 3x + 2`

and

`g(x) = {x}^(2) + 1`

By the algebraic properties of functions:

`(f * g)(x) = f(x) * g(x)`

We just have to substitute to obtain:

`(f * g)(x) =(3x + 2)( {x}^(2) + 1)`

The first choice is correct.