JEE Main 2021MathematicsFunctionsComposite FunctionseasyMCQ

JEE Main 2021Functions Question with Solution

From: JEE Main 2021 (Online) 25th July Evening Shift

Question

Consider function f : A B and g : B C (A, B, C R) such that (gof)1 exists, then :

Choose an option

Show full solutionCorrect option: C
Correct answer
Cf is one-one and g is onto

Step-by-step explanation

(gof)1 exist gof is bijective

'f' must be one-one and 'g' must be ONTO.

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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.