10.0k views
4 votes
What is the domain of the function y = 2 sqrt x-5

User Rlcrews
by
5.1k points

1 Answer

4 votes

Answer:

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

User Blissweb
by
4.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.