JEE Main 202622 Jan, Evening shiftMathematicsEasySets, Relations and Functions168× since 2002Let the domain of the function f(x)=log3log5(7−log2(x2−10x+85))+sin−1(∣3x−717−x∣)f(x)=\log_3\log_5\left(7-\log_2(x^2-10x+85)\right)+\sin^{-1}\left(\left|\frac{3x-7}{17-x}\right|\right)f(x)=log3log5(7−log2(x2−10x+85))+sin−1(17−x3x−7) be (α,β](\alpha, \beta](α,β]. Then α+β\alpha+\betaα+β is equal to :AOption A. 12BOption B. 8COption C. 10DOption D. 9CheckSkip · show solution