Question

The composition of a function and its inverse is
always

Answer 1

Lets try this with an example.

Suppose we have a function
`f(x)=2x`.

Calculate its inverse
`f^(-1)(x)=(x)/(2)`.

And now just simply try to find the composition,

`f(f^(-1)(x))=f\Big((x)/(2)\Big)=2\cdot(x)/(2)=x`.

The answer is the composition of a function and its inverse is always function
`g(x)=f(f^(-1)(x))=\boxed{x}`.

Hope this helps.

Answer 2

Answer: x

Explanation: