Question: what is the inverse of a piecewise function?
Answer: 1 Answer. You have y=x when 0≤x≤1 and y=x−1 when 2<x≤3, which is to say when 1<y≤2 since y=x−1. And the inverse function is obtained by switching x and y. So when 0≤y≤1 the inverse value is y, while when 1<y≤2 the inverse value is y+1.