Mathematics · 2024
JEE Main · 30 January 2024, Shift 2 · Q1
If the domain of the function f(x)= log_e((2 x+3)/(4 x^2+x-3))+ cos^-1((2 x-1)/(x+2)) is (α, β], then the value of 5 β-4 α is equal to
If the domain of the function $\displaystyle f(x)=\log _e\left(\frac{2 x+3}{4 x^2+x-3}\right)+\cos ^{-1}\left(\frac{2 x-1}{x+2}\right)$ is $\displaystyle (\alpha, \beta]$, then the value of $\displaystyle 5 \beta-4 \alpha$ is equal to
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle 12$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.