Question

Область определение функции y=√2x -1

Answer 1

Если имели ввиду y=√(2x -1), то область определения:
2х-1>=0
2х>=1
х>=0,5

Если имели ввиду y=√(2x) -1, то область определения:
2х>=0
х>=0


Где >= больше или равно

Answer 2

To find the domain of the function $y = \sqrt{2x} - 1$, we need to identify the values of $x$ for which the function is defined and yields real numbers. The square root function is only defined for non-negative real numbers, so we need to ensure that the expression $2x$ inside the square root is greater than or equal to zero.

The domain of the function is the set of all real numbers $x$ that satisfy this condition:

$2x \geq 0$

To solve for $x$, divide both sides by 2:

$x \geq 0$

So, the domain of the function $y = \sqrt{2x} - 1$ is all real numbers $x$ that are greater than or equal to zero. In interval notation, it can be written as $[0, +\infty)$.