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 $f^{-1}(x)=\dfrac{x}{2}$.

And now just simply try to find the composition,

$f(f^{-1}(x))=f\Big(\dfrac{x}{2}\Big)=2\cdot\dfrac{x}{2}=x$.

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

Step-by-step explanation: