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Functions question

2025 · 4 Apr · Shift 2 · Q27

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JEE Main
Mathematics
Functions
2025 · 4 Apr · Shift 2 · Q27

Functions question

2025 · 4 Apr · Shift 2 · Q27

JEE MainMathematicsFunctionsMCQ+4 / −1

Let the domains of the functions

f(x)=\log _4 \log _3 \log _7\left(8-\log _2\left(x^2+4 x+5\right)\right)

and

\mathrm{g}(x)=\sin ^{-1}\left(\frac{7 x+10}{x-2}\right)

be

(\alpha, \beta)

and

[\gamma, \delta]

, respectively. Then

\alpha^2+\beta^2+\gamma^2+\delta^2

is equal to :

A
15
B
13
C
16
D
14

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