The domain is the values that the input can take
![\sqrt[]{x-4}\ge0](https://img.qammunity.org/2023/formulas/mathematics/college/lf8egeh2thmg7dvq4xtoj1lsv98r905nlm.png)
Solving this equation
x must be greater than or equal to 4
In interval notation
[4,∞)
The range is the value that the output can take
We know that the output must be greater than or equal to zero
y ≥ 0
In interval notation
[0,∞)