If the domain of the function $f(x) = \log_7 (1 - \log_4 (x^2 - 9x + 18))$ is $(\alpha, \beta) \cup (\gamma, \delta)$, then $\alpha + \beta + \gamma + \delta$ is equal to

JEE Main 2025 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 3 April 2025, Shift 2, Maths Q2

Question 2 of 75 in this shift, Maths question 2 of 25, Section A.

If the domain of the function

f(x) = \log_7 (1 - \log_4 (x^2 - 9x + 18))

(\alpha, \beta) \cup (\gamma, \delta)

, then

\alpha + \beta + \gamma + \delta

is equal to

(1)15
(2)16
(3)17
(4)18Official answer

Official answer

Option 4

NTA final key.

Chapter: Relations and Functions
Topic: Functions and Domain
Idea tested: Domain of Nested Logarithms

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