Check sibling questions

Examples

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Example 28 (b)

Example 28 (c) You are here

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Chapter 1 Class 12 Relation and Functions
Serial order wise

Example 28 - Chapter 1 Class 12 Relation and Functions - Part 4

Example 28 - Chapter 1 Class 12 Relation and Functions - Part 5


Transcript

Example 28 Let S = {1, 2, 3}. Determine whether the functions f : S → S defined as below have inverses. Find f–1, if it exists. (c) f = {(1, 3), (3, 2), (2, 1)} A function has inverse if it is one-one and onto Check one one f = {(1, 3), (3, 2), (2, 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 = {(1, 3), (3, 2), (2, 1)} f-1 = {(3, 1), (2, 3), (1, 2)}

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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.