Let S = {a, b, c} and T = {1, 2, 3}. Find F^–1 of the following functions F from S to T, if it exists.

Question

Let S = {a, b, c} and T = {1, 2, 3}. Find F –1 of the following functions F from S to T, if it exists. F = {(a, 3), (b, 2), (c, 1)}

Philoid · Accepted Answer

(i) It is given that S = {a, b, c} and T = {1, 2, 3}

F : S → T is defined as:

F = {(a, 3), (b, 2), (c, 1)}

= > F(a) = 3, F(b) = 2, F(c) = 1

Therefore, F^-1: T → S is given by:

F^-1 = {(3, a), (2, b), (1, c)}.