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July 2022 2 8 Report

Объясните пожалуйста как решить!??
Найдите область определения функции
[tex]y = \sqrt{ \frac{(x - 2)(5 - x)}{(x - 3)(x - 4)} } [/tex]

vahe2907

!!!!!!!!!!!!!!!!!!!!!!!!!!

0 votes Thanks 2

m11m

Verified answer

$y = \sqrt\frac{(x-2)(5-x)}{(x-3)(x-4)}\\(x-3)(x-4) \neq 0\\x\neq3; x\neq4\\\frac{(x-2)(5-x)}{(x-3)(x-4)} \geq 0\\\frac{(x-2)(x-5)}{(x-3)(x-4)} \leq 0$

+ 2 - 3 + 4 - 5 +

x ∈ [2; 3) ∪ (4; 5]

1 votes Thanks 2

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