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Saturday, 31 October

JEE Main · Maths · Relations and Functions

Domain and Range of Inverse Functions

JEE Main asked Domain and Range of Inverse Functions 3 times in 3 of the 108 shifts Lumi analysed, in 2021 and 2026. It belongs to Functions and Domain, in Relations and Functions (Maths). The longest wait between two years asking it was 5 years. In 2021 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
3
in 3 shifts
Years
2 of 8
First asked
2021
last in 2026
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021 and 2026. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170’200.07’210’220’230’240’250.11’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 2 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 in 12 shifts · 2024: 0 in 18 shifts · 2025: 0 in 8 shifts · 2026: 1 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20261 of 9
  • 20250 of 8
  • 20240 of 18
  • 20230 of 12
  • 20220 of 24
  • 20212 of 24
  • 20200 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Single correct is the usual form. Skill tested: multi-step.

  • Statement i/ii on inverse function
  • Sum of roots from inverse functions equation

Difficulty

Easy 1Medium 1Hard 1

Every question was multiple choice.

Every question

All 3 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 4 Apr 2026, Shift 2 · Q1For the function f:[1,∞)→[1,∞)f:[1,\infty)\to[1,\infty) defined by f(x)=(x−1)4+1f(x)=(x-1)^4+1, among the two statements: (I) The set…HardOther
  2. 18 Mar 2021, Shift 2 · Q76Let f:R−{3}→R−{1}f:\mathbb{R}-\{3\}\to\mathbb{R}-\{1\} be defined by f(x)=x−2x−3f(x)=\frac{x-2}{x-3}. Let g:R→Rg:\mathbb{R}\to\mathbb{R} be given as g(x)=2x−3g(x)=2x-3.…MediumSingle correct
  3. 17 Mar 2021, Shift 1 · Q69The inverse of y=5log⁡xy=5^{\log x} is :EasySingle correct

Shifts: 17 Mar 2021, Shift 1, 18 Mar 2021, Shift 2, 4 Apr 2026, Shift 2.

Same topic

Other ideas in Functions and Domain

Functions and Domain has 20 ideas JEE Main has asked; 8 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas