Question

У=√2-5х знайдіть область визначення функції

Answer 1

Решение:

у=√(2 - 5х)

2 - 5x ≥ 0

- 5x ≥ - 2

5x ≤ 2

x ≤ 2/5

x ∈ (- ∞: 2/5]

Answer 2

To find the domain of the function, we need to identify all the values of "x" for which the function is defined. In this case, we have the function:

У = √(2 - 5x)

The function involves a square root, and to ensure the function is defined, the expression inside the square root must be greater than or equal to zero. In other words:

2 - 5x ≥ 0

Now, let's solve this inequality for "x":

2 ≥ 5x x ≤ 2/5

So, the function is defined for all values of "x" such that x is less than or equal to 2/5. The domain of the function is (-∞, 2/5].