Question

Hey can you please help me posted picture of question

Answer 1

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.

$F(x) = x-2 \\ \\ F^{-1}(x)=x+2 \\ \\ F(F^{-1}(x)) = F(x+2) \\ \\ F(F^{-1}(x)) = (x+2) -2 = x$

Thus x - 2 and x + 2 are the inverse of each other.