Ex 1.3, 13 - f(x) = (3 - x3)1/3, then fof (x) is (A) x1/3 - Ex 1.3

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Ex1.3 , 13 If f: R R be given by f(x) = (3 x3) 1 3 , then fof(x) is (A) x 1 3 (B) x3 (C) x (D) (3 x3) f(x) = (3 x3) 1 3 f(f(x)) = (3 f(x)3) 1 3 fof(x) = 3 (3 x3) 1 3 3 1 3 = 3 (3 x3) 1 3 3 1 3 = 3 (3 x3) 1 1 3 = 3 3 + x3 1 3 = x3 1 3 = x Hence fof(x) = x So, C is the correct answer

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.