Domain and range of functionsMedium

Logarithmic Function Domains

If the domain of the function ${\log _5}\left( {18x - {x^2} - 77} \right)$ is (α, β) and the domain of the function ${\log _{\left( {x - 1} \right)}}\left( {\frac{{2{x^2} + 3x - 2}}{{{x^2} - 3x - 4}}} \right)$ is (γ,δ), then α² + β² + γ² is equal to :

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