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Functions question

2025 · 8 Apr · Shift 2 · Q50

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JEE Main
Mathematics
Functions
2025 · 8 Apr · Shift 2 · Q50

Functions question

2025 · 8 Apr · Shift 2 · Q50

JEE MainMathematicsFunctionsNumerical+4 / −1

Let the domain of the function

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

be

[\alpha, \beta]

and the domain of

g(x)=\log _2\left(2-6 \log _{27}(2 x+5)\right)

be

(\gamma, \delta)

. Then

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

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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