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Ex 1.3
Ex 1.3, 2
Ex 1.3, 3 (i) Important
Ex 1.3, 3 (ii)
Ex 1.3 , 4
Ex 1.3, 5 (i)
Ex 1.3, 5 (ii) Important
Ex 1.3, 5 (iii) Important You are here
Ex 1.3 , 6
Ex 1.3 , 7
Ex 1.3 , 8 Important
Ex 1.3 , 9 Important
Ex 1.3, 10 Important
Ex 1.3, 11
Ex 1.3, 12
Ex 1.3, 13 (MCQ) Important
Ex 1.3, 14 (MCQ) Important
Last updated at Aug. 11, 2021 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)}