If h^-1 is the inverse of h (x), what is the value of H^-1 (h (x))

The value of h (f (x)) is x.

Step-by-step explanation:

We have to find the value of h (f (x))

This problem can be solved by using inverse trigonometric concept

Here the functions in the given problem g and h are the inverse function

Let us assume

If g (h (x)) = x for all x in domain of h

Similarly,

h (g (x)) = x for all x in domain of h

So from the given we have h (x) as the inverse of f (x)

Thus from the definition of the inverse function we know that

h (f (x)) = x

Hence the value of h (f (x)) = x