Question

I’m having a hard time understa

Answer 1

option B

Explanation:

to find the pair whose (f o g) (x) = x

so,

(f o g) (x) means f (g(x)) means inserting value of g(x) in function f(x)

a) (f o g )(x) = f(g(x)) =
`f((1)/(x)) = (1)/(x^2)`

b) (f o g )(x) = f(g(x)) =
`f((2)/(x)) = (2)/((2)/(x))`

= x

hence, the correct answer is option B

Answer 2

option b

Explanation:

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

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