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Укажи область визначення функції \( y=\frac{2}{2 x-6} \)

Ask by Rowe Munoz. in Portugal
Mar 14,2025

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Область определения функции \( y=\frac{2}{2x-6} \) включает все действительные числа \( x \), кроме \( x=3 \).

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Область визначення функції \( y=\frac{2}{2 x-6} \) визначається тим, коли знаменник не дорівнює нулю. Тобто, потрібно вирішити рівняння \( 2x - 6 \neq 0 \). Вирішивши його, отримаємо \( 2x \neq 6 \), або \( x \neq 3 \). Таким чином, область визначення цієї функції — всі дійсні числа, за вирахуванням \( x = 3 \). Отже, область визначення: \( x \in (-\infty, 3) \cup (3, +\infty) \).

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