Hey can you me posted picture of question

The answer is true.

Method 1:
The given function is a cubic function. And inverse of a cubic function is also a function.

Method 2:
Since the function is one-to-one function i.e it passes the horizontal line test, its function will pass the vertical line test which is a test if a relation is a function or not.

So, yes the inverse of G(x) will be a function.