Question

Y=|x|+|x+3| Найти область определения

Answer 1

Область определения: множество всех действительных чисел.

Answer 2

Если х>=0 и х+3>=0 то у=х+х+3 Если х>=0 и х+3<0 то у=х-х-3 Если х<0 и х+3>=0 то у=-х+х+3 Если х<0 и х+3<0 то у=-х-х-3

Answer 3

Finding the Domain of Y = |x| + |x + 3|

To find the domain of the function Y = |x| + |x + 3|, we need to determine the values of x for which the function is defined.

The absolute value function |x| is defined for all real numbers, so there are no restrictions on the values of x for the first term |x|.

For the second term |x + 3|, the expression inside the absolute value must be greater than or equal to zero. This means that x + 3 ≥ 0, which implies x ≥ -3.

Therefore, the domain of the function Y = |x| + |x + 3| is all real numbers greater than or equal to -3.

Domain: x ≥ -3.

I hope this helps! Let me know if you have any further questions.