Final answer:
The student's question pertains to finding a value from a defined function f with ordered pairs. The function f(x) is only defined for x = 0, 1, 2, and 3, and thus, f(2) = 3. The rest of the expressions appear to be incorrectly formatted or based on a misunderstanding.
Step-by-step explanation:
The question seems to be about finding a specific value from a given function f denoted as a set of ordered pairs. The function f is defined as f={(0,1),(1,2),(2,3),(3,0)}.
From this definition, f(2) would be 3, as it is the second element of the pair where the first element is 2. However, the remainder of the question f (2) (2)=f (3) (2)=2f (4) (2)=f (101) (2)= includes expressions that don't make sense with the given information, such as f(2)(2) or 2f(4)(2), since f(x) for x = 4 and x = 101 are not defined within the given set.
Perhaps there is a typo or misunderstanding in the question. For the function defined, f(x) will only return values for x being 0, 1, 2, and 3 based on the information given.