JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 26 February 2021, Shift 2, Maths Q69

Question 69 of 90 in this shift, Maths question 9 of 30, Section A.

Let

f(x)=\sin^{-1}x

and

g(x)=\frac{x^2-x-2}{2x^2-x-6}

. If

g(2)=\lim_{x \to 2} g(x)

, then the domain of the function

f \circ g

is :

(1) $(-\infty, -2] \cup \left[-\frac{3}{2}, \infty\right)$
(2) $(-\infty, -2] \cup \left[-\frac{4}{3}, \infty\right)$ Official answer
(3) $(-\infty, -1] \cup [2, \infty)$
(4) $(-\infty, -2] \cup [-1, \infty)$

Official answer

Option 2

NTA final key.

Chapter: Relations and Functions
Topic: Functions and Domain
Idea tested: Domain of Composite Functions

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.