What is the inverse of f(x)= x/x+2 where x ≠ -2 ? show work.

(1) ƒ-¹(x) = 2x/x-1

(2) ƒ-¹(x) = -2x/x-1

(3) ƒ-¹(x) = x/x-2

(4) ƒ-¹(x) = -x/x-2​