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Inverse Trigonometric Functions

JEE Main 2023 (Online) 15th April Morning Shift

MCQ+4 / -12023
If the domain of the function



$f(x)=\log _{e}\left(4 x^{2}+11 x+6\right)+\sin ^{-1}(4 x+3)+\cos ^{-1}\left(\frac{10 x+6}{3}\right)$ is $(\alpha, \beta]$, then



$36|\alpha+\beta|$ is equal to :

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