Question

Y=√(8+5x) найти область определения функции

Answer 1

Решение задания смотри на фотографии

Answer 2

Finding the Domain of the Function Y=√(8+5x)

To find the domain of the function Y=√(8+5x), we need to consider the values of x for which the expression under the square root is non-negative.

1. Expression under the Square Root: The expression under the square root is 8+5x.

2. Non-Negative Condition: For the square root to be defined, the expression under the square root must be greater than or equal to zero.

3. Solving for the Domain: To find the domain, we solve the inequality 8+5x ≥ 0.

- First, solve for x: 8+5x ≥ 0 5x ≥ -8 x ≥ -8/5 x ≥ -1.6

- Therefore, the domain of the function Y=√(8+5x) is x ≥ -1.6.

Conclusion

The domain of the function Y=√(8+5x) is x ≥ -1.6. This means that the function is defined for all real numbers greater than or equal to -1.6.