Final answer:
The inverse of the function f(x) = x + 11 is found by switching x and y and solving for y. The correct inverse function is f^{-1}(x) = x - 11, which is not one of the provided options A, B, C, or D.
Step-by-step explanation:
The function given is f(x) = x + 11. The inverse of a function essentially reverses the effect of that function. When finding the inverse, we switch the roles of x and y, solve for y, and then rename it as the inverse function.
Steps to find the inverse
The correct answer, which represents the inverse of function f, is therefore none of the given options A, B, C, or D. The answer should be f-1(x) = x - 11.