Ex 1.3, 5 (iii) - Chapter 1 Class 12 Relation and Functions
Last updated at April 16, 2024 by Teachoo
Inverse of a function
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Ex 1.3, 3 (i) Important
Ex 1.3, 3 (ii)
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Ex 1.3, 5 (ii) Important
Ex 1.3, 5 (iii) Important You are here
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Ex 1.3, 13 (MCQ) Important
Ex 1.3, 14 (MCQ) Important
Inverse of a function
Last updated at April 16, 2024 by Teachoo
Ex 1.3, 5 State with reason whether following functions have inverse (iii) h: {2, 3, 4, 5} → {7, 9, 11, 13} with h = {(2, 7), (3, 9), (4, 11), (5, 13)} A function has inverse if it is one-one and onto Check one one h = {(2, 7), (3, 9), (4, 11), (5, 13)} Since each element has unique image, h is one-one Check onto Since for every image, there is a corresponding element, ∴ h is onto. Since function is both one-one and onto it will have inverse h = {(2, 7), (3, 9), (4, 11), (5, 13)} h-1 = {(7, 2), (9, 3), (11, 4), (13, 5)}