JEE Main 202315 Apr, Morning shiftMathematicsHardTrigonometry118× since 2002If the domain of the function f(x)=loge(4x2+11x+6)+sin−1(4x+3)+cos−1(10x+63)f(x)=\log _{e}\left(4 x^{2}+11 x+6\right)+\sin ^{-1}(4 x+3)+\cos ^{-1}\left(\frac{10 x+6}{3}\right)f(x)=loge(4x2+11x+6)+sin−1(4x+3)+cos−1(310x+6) is (α,β](\alpha, \beta](α,β], then 36∣α+β∣36|\alpha+\beta|36∣α+β∣ is equal to :AOption A. 72BOption B. 54COption C. 45DOption D. 63CheckSkip · show solution
