JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumSets, Relations and Functions168× since 2002If the domain of the function f(x)=loge(2x−35+4x)+sin−1(4+3x2−x)f(x)=\log_e\bigl(\tfrac{2x-3}{5+4x}\bigr)+\sin^{-1}\bigl(\tfrac{4+3x}{2-x}\bigr)f(x)=loge(5+4x2x−3)+sin−1(2−x4+3x) is [α,β][\alpha,\beta][α,β], then α2+4β\alpha^2+4\betaα2+4β is equal to:AOption A. 5BOption B. 4COption C. 3DOption D. 7CheckSkip · show solution
