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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, 2), (B, 1), (C, 1)}

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प्रश्न

Let S = {abc} and T = {1, 2, 3}. Find F−1 of the following functions F from S to T, if it exists.

F = {(a, 2), (b, 1), (c, 1)}

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उत्तर

F: S → T is defined as:

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

Since F (b) = F (c) = 1, F is not one-one.

Hence, F is not invertible i.e., F−1 does not exist.

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