Question

Suppose g: P → Q and f: Q → R where P = {1, 2, 3,...

Suppose g: P → Q and f: Q → R where P = {1, 2, 3, 4}, Q = {a, b, c}, R = {2, 7, 10}, and f and g are defined by
f = {(a, 10), (b, 7), (c, 2)} and g = {(1, b), (2, a), (3, a), (4, b)}.

(a) Is Function f and g invertible? If yes find f −1 and    g −1 or if not why?

(b) Find f o g and g o f if exists.

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