Logarithm and Inverse Sine Domains (Jee Mains)

Principal Value & Basic Properties

Medium

Logarithm and Inverse Sine Domains

Let the domains of the functions
f(x) = log₄log₃log₇(8 – log₂(x² + 4x + 5)) and
g(x) = ${\sin ^{ - 1}}\left( {\frac{{7x + 10}}{{x - 2}}} \right)$ be (α, β) and [γ, δ], respectively.
Then α² + β² + γ² + δ² is equal to :-

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