JEE Main 202430 Jan, Morning shiftMathematicsMediumSets, Relations and Functions168× since 2002If the domain of the function f(x)=cos−1(2−∣x∣4)+{loge(3−x)}−1f(x)=\cos ^{-1}\left(\frac{2-|x|}{4}\right)+\left\{\log _e(3-x)\right\}^{-1}f(x)=cos−1(42−∣x∣)+{loge(3−x)}−1 is [−α,β)−{γ}[-\alpha, \beta)-\{\gamma\}[−α,β)−{γ}, then α+β+γ\alpha+\beta+\gammaα+β+γ is equal to :AOption A. 11BOption B. 12COption C. 9DOption D. 8CheckSkip · show solution