Let the domains of the functions f(x)=\log _4 \log _3 \log _7(8 -\log _2 (x^2+4 x+5) ) and g(x)= \sin ^{-1} (\frac{7 x+10}{x-2}) be (\alpha, \beta) and [\gamma, \delta], respectively. Then \alpha^2+\beta^2+\gamma^2+\delta^2 is equal to: [4 Apr 2025 Shift 2]

Functions Part 2

Section: Mathematics

Question : 11 of 64

Marks: +1, -0

Let the domains of the functions f(x)=log4log3log7(8−log2(x2+4x+5)) and g(x)=sin‌−1(‌

7x+10

x−2

) be (α,β) and [γ,δ], respectively. Then α2+β2+γ2+δ2 is equal to:

[4 Apr 2025 Shift 2]

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