If the domain of the function f(x)=logₑ(4x²+11x+6)+sin⁻¹(4x+3)+co… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 15 April, Shift 1Functions

If the domain of the function $f(x)=\log_e(4x^2+11x+6)+\sin^{-1}(4x+3)+\cos^{-1}\!\left(\frac{10x+6}{3}\right)$ is $(\alpha,\beta)$ , then $36|\alpha+\beta|$ is equal to

A
$45$
B
$54$
C
$63$
D
$72$

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