# How do you find the domain and range of #sqrt(x-3) #?

##### 1 Answer

#### Answer:

Domain

Range

#### Explanation:

There is a difference between the words can and may

You can square root a negative value but the answer belongs to the set of 'complex numbers'.

On the other hand, if you wish to avoid complex numbers the content of the root may not become negative.

Consequently I am setting the condition:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Domain can be thought of as 'input'. So for this expression it is the values you assign to

Range can be thought of as 'output' and it is all the positive values greater than or equal to 0

Set

So the range is

or you could write: