Answer:
A.

Explanation:
We have been given a function
. We are asked to find the inverse function for our given function.
First of all, we will rewrite
as
as:

To find the inverse function, we will interchange x and y variables and then solve for y.

Now, we will add 8 on both sides of our given equation.


Switch sides:

Now, we will divide both sides of our equation by 9.


Now, we will replace
with
as:

Therefore, the inverse function for our given function would be
and option A is the correct choice.