JEE Main 20264 Apr, Morning shiftMathematicsEasySets, Relations and Functions168× since 2002Let [⋅][\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(\frac{4x+2[x]}{3}\right)f(x)=cos−1(34x+2[x]) is [α,β][\alpha, \beta][α,β], then 12(α+β)12(\alpha+\beta)12(α+β) is equal to:AOption A. 6BOption B. 8COption C. 9DOption D. 4CheckSkip · show solution