If h^-1(x) is the inverse of h(x), what is the value or h^-1(h( a. x^-1 b. 1 c. 0 d. x

If H^-1(x) is the inverse of H(x) , then the value of the composition function:

    H^-1(H(x)) is:

              Option: D

               D.  x

We know that the composition of a function and its inverse always gives us the resultant as identity function.

Here we have the function H(x) and its inverse function is represented by H^-1(x)

Then the composition:

where I denotes the identity function.

                Hence, the correct answer is:  Option: D

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