We know h(x) and g(x)

And also we know that f(x) is a one-to-one function, and f^-1 is its inverse.
We can use the properties of compound functions to reduce problems.
A.

We can calculate

But, we don't know the exact value of f^-1. So we cannot know if the equality is true.
Finally, the answer is letter A.
For the rest options we can calculate them using the properties of compound functions.