Let f A → B be a function. Define a relation T on A by x Ty iff f(x) = f(y). Prove that T is an equivalence relation. For the following functions, find go f and fog: (a) f = {(1,3), (2, 6), (3, 5), (4, 2), (5,2)} (b) g = {(1,5), (2, 3), (3, 7), (4, 3), (5,4)}