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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

Respuesta :

kudzordzifrancis

Answer:

[tex](3x + 2)( {x}^{2} + 1)[/tex]

Step-by-step explanation:

The given functions are

[tex]f(x) = 3x + 2[/tex]

and

[tex]g(x) = {x}^{2} + 1[/tex]

By the algebraic properties of functions:

[tex](f \times g)(x) = f(x) \times g(x)[/tex]

We just have to substitute to obtain:

[tex](f \times g)(x) =(3x + 2)( {x}^{2} + 1) [/tex]

The first choice is correct.

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