AktiraAktira JEE
Subscribe
MathsJEE Main 22 Jan 2026, Shift 2·Q14·MCQ·Moderate

Sets, Relations & Functions · Domain of a function

Let the domain of the function f(x)=log⁡3log⁡5(7−log⁡2(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\lvert\dfrac{3x - 7}{17 - x}\right\rvert\right) be (α,β](\alpha, \beta]. Then α+β\alpha + \beta is equal to:
  1. (1)10
  2. (2)12
  3. (3)9
  4. (4)8

Video solution coming soon

We're animating every PYQ step by step. Subscribe to get them first.

Subscribe

See the full 22 Jan 2026, Shift 2 paper

More on Domain of a function