# What is the domain and range of #F(x) = sqrt(x-3)#?

##### 2 Answers

Jul 7, 2018

in interval notation

#### Explanation:

Given:

A function starts out having a domain of all Reals

A square root limits the function because you can't have negative numbers under the square root (they are called imaginary numbers).

This means

Simplifying:

Jul 7, 2018

The domain is

#### Explanation:

Let

What's under the

Therefore,

The domain is

When

And

Therefore,

The range is

graph{sqrt(x-3) [-12.77, 27.77, -9.9, 10.38]}