What is the domain and range of y= root 2-5x ?

The domain of the function y = √(2-5x) is all real numbers for which the expression under the square root is non-negative. In this case, 2-5x must be greater than or equal to 0:

2 - 5x ≥ 0
-5x ≥ -2
x ≤ 2/5

Therefore, the domain of the function is all real numbers less than or equal to 2/5.

The range of the function y = √(2-5x) is all real numbers greater than or equal to 0, since the square root of any non-negative number is always non-negative.

So, the domain is x ≤ 2/5 and the range is y ≥ 0.

Domain:

The domain of a function is the set of all possible input values for which the function is defined. Since the square root function is only defined for non-negative values, the domain of y = √(2 - 5x) is:

```
Domain: x ≤ 2/5
```

Range:

The range of a function is the set of all possible output values of the function. The square root function always produces non-negative values, so the range of y = √(2 - 5x) is:

```
Range: y ≥ 0
```