Question: Let A = {1, 2, 3, 4} and B = {a, b, c, d}. Consider the functions f: A B and g: B A where

Let A = {1, 2, 3, 4} and B = {a, b, c, d}. Consider the functions f: A B and g: B A where f={(1, a), (2, a), (3, c), (4, d)}, g = {(a, 1), (b, 3), (c, 2), (d, 1)} Determine the following.

Find (g f) (2).
Find (f g) (a).
Determine g f and f g.

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