Question

For which pairs of functions is (f•g)(x)=x of functions is (f•g)(x)=x

Answer 1

Option A

Explanation:

The complete question is shown in the attachment.

Note that:
`(f\cdot g)(x)=f(x)\cdot g(x)`

We need to multiply all the functions to see which of them satisfy the given criteria.

Option A

`x^2\cdot (1)/(x) =(x^2)/(x)=x`

Option B

`(2)/(x) \cdot (2)/(c) =(4)/(cx)`

Option C

`(x-2)/(3) \cdot 2-3x =(-3x^2+8x-4)/(3)`

Option D

`(1)/(2x-2) \cdot (1)/(2x+2) =(1)/(4(x^2-1))`

The correct choice is A