JEE Main 2021MathematicsFunctionsComposite FunctionsmediumMCQ

JEE Main 2021Functions Question with Solution

From: JEE Main 2021 (Online) 20th July Evening Shift

Question

Let be defined by . Then the value of for which (fof)(x) = x, for all , is :

Choose an option

Show full solutionCorrect option: B
Correct answer
B5

Step-by-step explanation

..... (i)







...... (ii)

fo



From eqn (i) & (ii)

Clearly

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About this question

This is a previous-year question from JEE Main 2021, covering the Functions chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.