If the domain of the function f(x) = logₑ ( (2x-3)/(5+4x)) + sin⁻… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 3 April, Shift 1Functions

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

A
$5$
B
$4$
C
$3$
D
$7$

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