Question

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

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

Answer 1

it means f(x) is composed of g(x)

f(g(x)) = 3g(x) + 2
= 3(x^2 + 1) + 2

3(x 2 + 1) + 2 is the answer (fourth choices)

Answer 2

Option 4th is correct

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

Explanation:

Given the functions:

`f(x) = 3x+2` and
`g(x) = x^2+1`

We have to find the
`(f o g)(x)`

`(f o g)(x) = f(g(x))`

Substitute the given function of g(x) we have;

`(f o g)(x)=f(x^2+1)`

Replace
`x` with
`x^2+1` in fucntion f(x) we have;

`f(x^2+1) =3(x^2+1)+2`

therefore, the expression is equivalent to
`(f o g)(x)` is,
`3(x^2+1)+2`