Question

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

A. x^-1
B. 1
C. 0
D. x

Answer 1

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

Explanation:

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:

`H^(-1)H(x)=H(H^(-1)(x))=I(x)=x`

where I denotes the identity function.

Hence, the correct answer is: Option: D