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July 2022 1 4 Report

СРОЧНО!!!! Найдите область допустимых значений переменной в выражении [tex]\sqrt{8-7x-x^{2} } -\frac{3}{x+5}[/tex]

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$\sqrt{8-7x-x^{2} } -\frac{3}{x+5} \\\\\left \{ {{8-7x-x^{2}\geq0 } \atop {x+5\neq 0}} \right. \\\\\left \{ {{x^{2}+7x-8\leq0 } \atop {x\neq-5 }} \right.\\\\\left \{ {{(x+8)(x-1)\leq0 } \atop {x\neq-5 }} \right.$

+ - +

______[-8]_____₀____[1]_______

- 5

//////////////// /////////

Ответ : x ∈ [- 8 ; - 5) ∪ (- 5 ; 1]

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