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JEE Math Practice Question

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 :

  1. A.72
  2. B.54
  3. C.45
  4. D.63

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