Question

What is the answer out of the options in the image?

Answer 1

(fog)(x) =
`x`

Explanation:

Given:

`f(x) = (x - 1)/(3)`

`g(x) = 3x + 1`

Required:

(fog)(x)

SOLUTION:

(fog)(x) = f(g(x))

Substitute 3x + 1 into
`f(x) = (x - 1)/(3)`

f(g(x)) =
`((3x + 1)- 1)/(3)`

`= (3x + 1 - 1)/(3)`

`= (3x)/(3)`

`= (x)/(1)`

(fog)(x) =
`x`