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

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