JEE Main 2019MathematicsFunctionsMediumMCQ

JEE Main 2019 — Functions Question with Solution

JEE Main 2019 (09 Jan Shift 1)

Question

For x∈R-0, 1, let f1x=1x,f2x=1-x and f3x=11-x be three given functions. If a function, Jx satisfies f2oJof1x=f3x then Jx is equal to:

Choose an option

Show full solutionCorrect option: A
Correct answer
Af3x

Step-by-step explanation

Given f2Jf1x=f3x

⇒f2J1x=11-x

⇒1-J1x=11-x

⇒J1x=1-11-x=-x1-x

⇒Jx=-1x1-1x

=-1x-1

=11-x

∴ Jx=f3x

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About this question

This is a previous-year question from JEE Main 2019, 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.