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Saturday, 31 October

JEE Main 2023 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 13 April 2023, Shift 1, Maths Q19

Question 19 of 90 in this shift, Maths question 19 of 30, Section A. NTA dropped this question from the final key; it is left out of every count on this site.

For x∈Rx\in\mathbb{R}, two real valued functions f(x)f(x) and g(x)g(x) are such that, g(x)=x+1g(x)=\sqrt{x}+1 and fog(x)=x+3−xfog(x)=x+3-\sqrt{x}. Then f(0)f(0) is equal to
  1. (1)−3-3
  2. (2)00
  3. (3)11
  4. (4)55

Official answer

Dropped by NTA (marks given to all)

NTA final key: NTA final key: DROP (question dropped).

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

Same idea in other shifts

Asked 1× in all
  1. 26 Feb 2021, Shift 2 · Q69Let f(x)=sin⁡−1xf(x)=\sin^{-1}x and g(x)=x2−x−22x2−x−6g(x)=\frac{x^2-x-2}{2x^2-x-6}. If g(2)=lim⁡x→2g(x)g(2)=\lim_{x \to 2} g(x), then the domain of the function f∘gf \circ g is :MediumSingle correct

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.