Question

Help meeeeeeeeeeeeee

Answer 1

Answer: Second Option

`f (x)=(2)/(x)` and
`g(x)=(2)/(x)`

Explanation:

If we have a function f(x) and its inverse function
`f ^ {- 1} (x) = g (x)`

Then by definition:

`(fog) (x) = (gof) (x) = x`

Notice that the inverse of the function
`f (x)=(2)/(x)` is
`f ^ {- 1}(x)=(2)/(x)`

then:

If
`f (x)=(2)/(x)` and
`g(x)=(2)/(x)`

Then:

`(fog) (x) =(2)/((2)/(x))`

`(fog) (x) =(2x)/(2)`

`(fog) (x) =x`

The answer is the second option