Mathematics · 2023
JEE Main · 15 April 2023, Shift 1 · Q1
If the domain of the function f(x)= log_e(4 x^2+11 x+6)+ sin^-1(4 x+3)+ cos^-1((10 x+6)/3) is (α, β], then 36|α+β| is equal to
If the domain of the function
$\displaystyle f(x)=\log _e\left(4 x^2+11 x+6\right)+\sin ^{-1}(4 x+3)+\cos ^{-1}\left(\frac{10 x+6}{3}\right)$ is $\displaystyle (\alpha, \beta]$, then $\displaystyle 36|\alpha+\beta|$ is equal to
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle 45$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.