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Misc 11 - Chapter 1 Class 12 Relation and Functions - Part 3

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Transcript

Misc 11 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. (ii) F = {(a, 2), (b, 1), (c, 1)} A function has inverse if it is one-one and onto Check one one F = {(a, 2), (b, 1), (c, 1)} Since b & c have the same image 1 F is not one-one Since, F is not one-one, it does not have an inverse

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