Question

If h(x) is the inverse of f(x), what is the value of h(f(x))?.

Answer 1

Explanation:

Given that h(x) is inverse of f(x0)

As per definition of inverse functions we find that always

f*f inverse = f inverse * f = I = identity function x

Hence here also since h is given to inverse of f we will get composition of functions h and f giving answer as x.

Answer 2

To answer the question above, make use of one of the definitions of the inverse functions. If h(x) and f(x) are inverses of each other, then applying the operation, h(f(x)) will give back the value of the initial value. Therefore, the answer is x.