Kenneth Rosen Edition 7 Exercise 2.3 Question 43 (Page No. 154)

Question

Let $g(x) = \left \lfloor x \right \rfloor$. Find

1. $g^{-1}(\left \{ 0 \right \})$
2. $g^{-1}(\left \{ -1,0,1 \right \})$
3. $g^{-1}(\left \{ x|0<x<1 \right \})$