Let the domain of the function f(x)=\cos ^{-1} (\frac{4 x+5}{3 x-7}) be [\alpha, \beta] and the domain of g(x)=\log _2 (2-6 \log _{27}(2 x. +5) ) be ( \gamma, \delta ). Then |7(\alpha+\beta)+4(\gamma+\delta)| is equal to \_\_\_\_ . [8 Apr 2025 Shift 2]

Functions Part 2

Section: Mathematics

Question : 9 of 64

Marks: +1, -0

Let the domain of the function f(x)=cos−1(‌

4x+5

3x−7

) be [α,β] and the domain of g(x)=log2(2−6log27(2x.+5) ) be ( γ,δ ).
Then |7(α+β)+4(γ+δ)| is equal to ____ .

[8 Apr 2025 Shift 2]

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