Final answer:
The output of the function f cannot be determined when x and y are equal, as the question lacks information defining the relationship between f, x, and y.
Step-by-step explanation:
The question seems to be missing information that defines what f represents in the context of x and y. Without knowing how f is related to x and y, or without being given a specific function or relation, it is not possible to determine the output of f when the numbers represented by x and y are equal. A question in mathematics should ideally present all variables and functions clearly in order to determine an answer. As the given information does not provide a clear function for f, the output cannot be determined from the present context.