x = -2.
ODZ: x belongs to [-2; 2].
Пошаговое объяснение:
In order to find the domain of definition of the function y = √ (4 - x ^ 2) (quadruple root), we start by considering it.
So, we are given a function whose variable is under the sign of the quadruple root.
In order for the function to have a value, the radical expression must be non-negative.
We need to find a solution to the following inequality:
4 - x ^ 2 ≥ 0;
We apply the formula difference of squares to the left side of the inequality:
(2 - x) (2 + x) ≥ 0;
Looking for points:
2 - x = 0;
x = 2;
2 + x = 0;
x = -2.
ODZ: x belongs to [-2; 2].
