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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
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 You are here
Ex 1.3, 13 (MCQ) Important
Ex 1.3, 14 (MCQ) Important
Last updated at Dec. 8, 2016 by Teachoo
Ex 1.3, 12 Let f: X Y be an invertible function. Show that the inverse of f 1 is f, i.e.,(f 1) 1 = f. Let f: X Y be an invertible function. Let g: Y X be the inverse of f, i.e. g = f 1 So, gof = IX and fog = IY. Since g is inverse of f, it is also invertible Let g 1 be the inverse of g So, g 1og = IX and gog 1 = IY f 1of = IX and fof 1= IY Hence, f 1: Y X is invertible and f is the inverse of f 1 i.e., (f 1) 1 = f.