Ex 1.3 , 13 - Chapter 1 Class 12 Relation and Functions
Last updated at May 29, 2018 by Teachoo
Transcript
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
Chapter 1 Class 12 Relation and Functions
Concept wise
- Relations - Definition
- Empty and Universal Relation
- To prove relation reflexive, transitive, symmetric and equivalent
- Finding number of relations
- Function - Definition
- To prove one-one & onto (injective, surjective, bijective)
- Composite functions
- Composite functions and one-one onto
- Finding Inverse
- Inverse of function: Proof questions
- Binary Operations - Definition
- Whether binary commutative/associative or not
- Binary operations: Identity element
- Binary operations: Inverse
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.