Respuesta :

The answer would be 2. This is because inverse means opposite, and since f(x)=-2, then that means the inverse would be 2.

Answer:

[tex]f(x)^{-1}[/tex] = x + 2.

Step-by-step explanation:

Given :  f(x) = x-2.

To find : inverse of F(x).

Solution : We have given that f(x) = x-2.

STEP 1: replace  "y" in for the "f(x)":

y = x -2.

STEP 2: Switch the x and y

x = y -2 .

STEP 3: Solve for y:

On adding 2 both sides and switching the sides.

y = x + 2 .

STEP 4: write in the inverse notation

y = [tex]f(x)^{-1}[/tex] = x + 2.

Therefore, [tex]f(x)^{-1}[/tex] = x + 2.