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Last updated at Jan. 28, 2020 by Teachoo

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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)}. 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

Miscellaneous

Misc 1
Not in Syllabus - CBSE Exams 2021

Misc 2 Not in Syllabus - CBSE Exams 2021

Misc 3 Important Not in Syllabus - CBSE Exams 2021

Misc. 4 Important

Misc 5

Misc 6 Not in Syllabus - CBSE Exams 2021

Misc 7 Not in Syllabus - CBSE Exams 2021

Misc. 8 Important

Misc 9 Important Not in Syllabus - CBSE Exams 2021

Misc 10 Important

Misc 11 Important Not in Syllabus - CBSE Exams 2021 You are here

Misc 12 Not in Syllabus - CBSE Exams 2021

Misc 13 Important Not in Syllabus - CBSE Exams 2021

Misc 14 Important Not in Syllabus - CBSE Exams 2021

Misc 15

Misc 16 Important

Misc 17 Important

Misc 18

Misc, 19 Important Not in Syllabus - CBSE Exams 2021

Chapter 1 Class 12 Relation and Functions

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About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.