If the domain of the function f(x) = logₑ((2x + 3)/(4x² + x - 3))… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 30 January, Shift 2Functions

If the domain of the function $f(x) = \log_e\left(\frac{2x + 3}{4x^2 + x - 3}\right) + \cos^{-1}\left(\frac{2x - 1}{x + 2}\right)$ is $(\alpha, \beta]$ , then the value of $5\beta - 4\alpha$ is equal to:

A
$10$
B
$12$
C
$11$
D
$9$

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