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. (i) F = {(a, 3), (b, 2), (c, 1)} A function has inverse if it is one-one and onto Check one one F = {(a, 3), (b, 2), (c, 1)} Since each element has unique image, F is one-one Check onto Since for every image, there is a corresponding element, ∴ F is onto. Since function is both one-one and onto it will have inverse F = {(a, 3), (b, 2), (c, 1)} F−1 = {(3, a), (2, b), (1, c)}.

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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