Let the domain of the function f(x) = cos ⁻¹ ((4x + 5)/(3x - 7)) be [α, β] and the domain of g(x) = log ₂(2 - 6 log ₇(2x + 5)) be [γ, δ]. Then |7(α + β) + 4(γ + δ)| is equal to _ _ _

Unclassified (maths): JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q222

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)

Let the domain of the function

f(x) = \cos^{-1} \left( \frac{4x + 5}{3x - 7} \right)

[\alpha, \beta]

and the domain of

g(x) = \log_2(2 - 6\log_7(2x + 5))

[\gamma, \delta]

. Then

|7(\alpha + \beta) + 4(\gamma + \delta)|

is equal to _____

Your answerInteger or decimal