Find the inverse function of the function y = arcsin (x-1) / 4, and find the domain of definition and value of the inverse function?

First, we find the domain and range of the function y = arcsin (x-1) / 4, and prepare to make the domain and range of the inverse function
|x-1|

What is the difference between the inverse function of y = f (x + 1) and f '(x + 1)? (f (x + 1) = x / (x + 1))

The inverse function of y = f (x + 1) is x = g (y)
And f '(x + 1) is the derivative of y = f (x + 1)!
It's a big difference!