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Question is

Let f: (I, 2. 3} → a b. c be one-one and onto function given by f(I) = a,f(2) = b and f(3) = c. Show that there exists a function g : {a, b. c} → {1, 2, 3} such that g o f = 1x and f o g = 1Y where, X = {1, 2, 3} and Y= {a, b, c}.

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