Domain of a function with radicals (Jee Mains)

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Domain of a function with radicals

If the domain of the function $ƒ(x) = \frac{1}{{\sqrt {10 + 3x - {x^2}} }} + \frac{1}{{\sqrt {x + |x|} }}$ is (a, b), then (1 + a)² + b² is equal to :

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