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MathsJEE Main 4 Apr 2026, Shift 1·Q1·MCQ·Moderate

Inverse Trigonometry · Domain with greatest integer function

Let [⋅][\cdot] denote the greatest integer function. If the domain of the function f(x)=cos⁡−1(4x+2[x]3)f(x) = \cos^{-1}\left(\dfrac{4x + 2\left[x\right]}{3}\right) is [α,β][\alpha, \beta], then 12(α+β)12(\alpha + \beta) is equal to:
  1. (1)6
  2. (2)8
  3. (3)9
  4. (4)4

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