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Inverse Trigonometric Functions question

2023 · 15 Apr · Shift 1 · Q28

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JEE Main
Mathematics
Inverse Trigonometric Functions
2023 · 15 Apr · Shift 1 · Q28

Inverse Trigonometric Functions question

2023 · 15 Apr · Shift 1 · Q28

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

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 :

A
72
B
54
C
45
D
63

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