Respuesta :

Answer:

[tex]f^{-1}(x) = x + 6[/tex]

Step-by-step explanation:

We are given the function

[tex]f(x) = x - 6[/tex]

We have to find the inverse of the function.

To find the inverse we solve for x and interchange the variable.

[tex]f(x) = x - 6\\y = x - 6\\x = y + 6[/tex]

Thus, the inverse of the function is

[tex]f^{-1}(x) = x + 6[/tex]