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Friday, 9 October

JEE Main 2024 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 31 January 2024, Shift 1, Maths Q1

Question 1 of 90 in this shift, Maths question 1 of 30, Section A.

If f(x)=4x+36x−4, x≠23f(x)=\frac{4x+3}{6x-4},\ x\neq\frac{2}{3} and (f∘f)(x)=g(x)(f\circ f)(x)=g(x), where g:R−{23}→R−{23}g:\mathbb{R}-\left\{\frac{2}{3}\right\}\rightarrow\mathbb{R}-\left\{\frac{2}{3}\right\}, then (g∘g∘g)(4)(g\circ g\circ g)(4) is equal to
  1. (1)1920\frac{19}{20}
  2. (2)44Official answer
  3. (3)−1920-\frac{19}{20}
  4. (4)−4-4

Official answer

Option 2

NTA final key.

Chapter
Relations and Functions
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

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 42 of the 174 JEE Main shifts held from 2017 to 2026.