Answer:
The domain of the given function is:
i.e. [5,∞)
Explanation:
Domain of a function--
The domain of a function is the set of all the possible values of x for which the function is defined.
That is it is the collection of all the points except the excluded values of the function.
The function f(x) is a square root function which is given by:
![f(x)=2√(x-5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7n9i73gkvgdlnyqapwimgad42vciys4c1g.png)
We know that the domain of the function depends on the domain of the square root quantity.
We know that: a square root function is well defined when the quantity under the square root is non-negative
i.e.
![x-5\geq 0\\\\i.e.\\\\x\geq 5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lb31m9rohuzqdxexprnwqxg8u4ppryx7mr.png)