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Saturday, 31 October

JEE Main 2022 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 25 June 2022, Shift 1, Maths Q27

Question 27 of 90 in this shift, Maths question 27 of 30, Section B.

Let f:R→Rf:\mathbf{R}\to\mathbf{R} be a function defined by f(x)=(2(1−x252)(2+x25))150f(x)=\left(2\left(1-\frac{x^{25}}{2}\right)(2+x^{25})\right)^{\frac{1}{50}}. If the function g(x)=f(f(f(x)))+f(f(x))g(x)=f(f(f(x)))+f(f(x)), then the greatest integer less than or equal to g(1)g(1) is __________.

Official answer

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