Ex 1.3, 13 (MCQ) - Chapter 1 Class 12 Relation and Functions

Last updated at Dec. 16, 2024 by

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

Ex 1.3 , 13 - Chapter 1 Class 12 Relation and Functions - Part 2

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Ex 1.3, 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 )^(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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo