Answer:
Remember that if the function f(x) has domain S, range T and is injective then f(x) has inverse [tex]f^{-1}(x)[/tex] with domain the range of f(x), that is, T.
Since the funciton h(x)=x-7 is a line then is an injective function. Then h(x) has inverse [tex]h^{-1}(x)[/tex]. Since the range of h(x) is [tex]r=\{0,1,2,3\}[/tex], then [tex]h^{-1}(x)[/tex] has domain the range of h(x), that is, [tex]r=\{0,1,2,3\}[/tex].
