Question

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

Answer 1

Answer:

The domain of the given function is:

                  $x\geq 5$ i.e. [5,∞)

Step-by-step 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:

          $f(x)=2\sqrt{x-5}$

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.

$x-5\geq 0\\\\i.e.\\\\x\geq 5$