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Ex 1.3, 12 - Chapter 1 Class 12 Relation and Functions (Term 1)
Last updated at Dec. 8, 2016 by Teachoo
Ex 1.3
Ex 1.3, 1
Ex 1.3, 2
Ex 1.3, 3 (i) Important
Ex 1.3, 3 (ii)
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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
Chapter 1 Class 12 Relation and Functions
Serial order wise
Transcript
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.
