JEE Main 2021MathematicsFunctionsClassification Of FunctionsmediumMCQ

JEE Main 2021Functions Question with Solution

From: JEE Main 2021 (Online) 25th February Morning Shift

Question

Let f, g : N N such that f(n + 1) = f(n) + f(1) nN and g be any arbitrary function. Which of the following statements is NOT true?

Choose an option

Show full solutionCorrect option: A
Correct answer
AIf g is onto, then fog is one-one

Step-by-step explanation









.....



is one-one

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Functions chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

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.