Given the function $g$

Question

Given the function:

$g: m ∈ Z → |m| + 1 ∈ N$

$g^{-1} (\{1\}) = 0$ ??

$g^{-1} (\{1,2\}) = 0,1$ ??

Please correct me if I'm wrong

Answer 1

Given $g: m ∈ Z → |m| + 1 ∈ N$, we have:

$g^{-1} (\{1\}) = \{0\}$

$g^{-1} (\{1,2\}) = \{-1,0,1\}$