Найдите область определения функции f(x) = 10x^2 - 5x +6 всё под корнем.

Найдите область определения функции f(x) = 10x^2 - 5x +6 всё под корнем.
- Предмет:
  Алгебра
- Автор:
  gizmog1di
- 5 лет назад

Ответы 1

Функция существует когда подкоренное выражение принимает неотрицательные значения, т.е.
$10x^2-5x+6\geqslant 0$
Преобразуем левую часть неравенства в виде:
$10x^2-5x+6=5(2x^2-x)+6=10\left(x-\dfrac{1}{4}ight)^2+\dfrac{43}{8}\geqslant 0$
Видим, что для всех действительны х, верно неравенство.
Ответ: $D(y)=(-\infty;+\infty)$
- Автор:
  kcda1z
- 5 лет назад
- 0
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Найдите область определения функции f(x) = 10x^2 - 5x +6 всё под корнем.

Ответы 1

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