Ok, so
We got the function g:

First, let's find

The points we're going to analyze are the next one:
As you can see, the value of x which makes that g(x) equals to 5, is 7.
So,

Now, we have h(x):

To find the inverse, we solve that equation for x:

So that's the inverse of h(x).
Finally, we have to find:

This is the same that if we write:

So we're going to evaluate the inverse function, in h(2).
We can find h(2) replacing:

Now, evaluate:

This is:

Therefore,
