MathsJEE Main 21 Jan 2026, Shift 1·Q1·MCQ·Moderate

Inverse Trigonometry · Domain of inverse trigonometric functions

If the domain of the function

f(x) = \cos^{-1}\left(\dfrac{2x-5}{11-3x}\right) + \sin^{-1}(2x^2 - 3x + 1)

is the interval

[\alpha, \beta]

, then

\alpha + 2\beta

is equal to:

(1)1
(2)3
(3)5
(4)2

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