Question

What is the domain of the function y = 2 sqrt x-5

Answer 1

The domain of the given function is:

`x\geq 5` 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)`

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`