JEE Main 2024MathematicsFunctionsEasyMCQ

JEE Main 2024 — Functions Question with Solution

JEE Main 2024 (31 Jan Shift 1)

Question

If fx=4x+36x-4, x≠23 and (fof) (x)=g(x), where g:R-23→R-23, then (gogog) (4) is equal to

Choose an option

Show full solutionCorrect option: D
Correct answer
D4

Step-by-step explanation

Given: fx=4x+36x-4

⇒fofx=44x+36x-4+364x+36x-4-4

⇒fofx=16x+12+18x-1224x+18-24x+16

⇒fofx=34x34

⇒fofx=x

⇒gx=x

⇒gogx=x

⇒gogogx=x

⇒gogog4=4

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About this question

This is a previous-year question from JEE Main 2024, 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.