Question

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

Answer 1

Answer:

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

Step-by-step explanation:

The given functions are

$f(x) = 3x + 2$

and

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

By the algebraic properties of functions:

$(f \times g)(x) = f(x) \times g(x)$

We just have to substitute to obtain:

$(f \times g)(x) =(3x + 2)( {x}^{2} + 1)$

The first choice is correct.