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JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 26 June 2022, Shift 1, Maths Q1

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

Let

f(x) = \frac{x-1}{x+1}

,

x \in \mathbf{R} - \{0, -1, 1\}

. If

f^{n+1}(x) = f(f^{n}(x))

for all

n \in \mathbf{N}

, then

f^{6}(6) + f^{7}(7)

is equal to :

(1) $\frac{7}{6}$
(2) $-\frac{3}{2}$ Official answer
(3) $\frac{7}{12}$
(4) $-\frac{11}{12}$

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