Задача 59464 ...

5f42a255b5ac0b3cc606fbf7

27.04.2021 12:49:10

26.10. Найдите область определения функции y = f(x):

3) f(x) = √(log_1/2 (3x - 2)) + ^4√(x + 1)

5f3ea7e3faf909182968ddd9

27.04.2021 15:14:01

★

[m]\left\{\begin {matrix}x+1 ≥ 0\\log_{\frac{1}{2}}(3x-2) ≥0\\3x-2 >0\end {matrix}\right.[/m] ⇒ [m]\left\{\begin {matrix}x ≥ -1\\log_{\frac{1}{2}}(3x-2) ≥log_{\frac{1}{2}}1\\3x >2\end {matrix}\right.[/m] ⇒ [m]\left\{\begin {matrix}x ≥ -1\\3x-2 ≤1\\3x >2\end {matrix}\right.[/m] ⇒ [m]\left\{\begin {matrix}x ≥ -1\\3x ≤3\\x >\frac{2}{3}\end {matrix}\right.[/m] ⇒[m]\left\{\begin {matrix}x ≥ -1\\x ≤1\\x >\frac{2}{3}\end {matrix}\right.[/m]


О т в е т. [m](\frac{2}{3};1][/m]