The correct answer is option A.
One way to check if a function is inverse of the other is to take their composition. The composition of two inverse functions will always result in x.
[tex]F(x) = x-2 \\ \\
F^{-1}(x)=x+2 \\ \\
F(F^{-1}(x)) = F(x+2) \\ \\
F(F^{-1}(x)) = (x+2) -2 = x
[/tex]
Thus x - 2 and x + 2 are the inverse of each other.
