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Mathematics · 2024

JEE Main · 30 January 2024, Shift 1 · Q1

If the domain of the function f(x)= cos^-1((2-|x|)/4)+{ log_e (3-x)}^-1 is [-α, β)-{γ}, then α+β+γ is equal to:

If the domain of the function $\displaystyle f(x)=\cos ^{-1}\left(\frac{2-|x|}{4}\right)+\left\{\log _{\mathrm{e}}(3-x)\right\}^{-1}$ is $\displaystyle [-\alpha, \beta)-\{\gamma\}$, then $\displaystyle \alpha+\beta+\gamma$ is equal to :
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.