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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)}

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प्रश्न

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)} 

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उत्तर

S = {a, b, c}, 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)}.

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