Question

Y=√x-2 найдите область определения

Answer 1

Под корнем должно быть неотрицательное число.

х-2≥0
х≥2
D=[2;+∞)

Answer 2

Finding the Domain of the Function Y = √x - 2

To find the domain of the function Y = √x - 2, we need to determine the values of x for which the function is defined. The square root function is defined only for non-negative values of x, so we need to ensure that the expression inside the square root is non-negative.

The expression inside the square root, x - 2, must be greater than or equal to 0 for the function to be defined. Solving for x, we get:

x - 2 ≥ 0 x ≥ 2

This means that the function Y = √x - 2 is defined for all real numbers x greater than or equal to 2.

Therefore, the domain of the function Y = √x - 2 is x ≥ 2.

[[SOURCE #2]]