# What is the domain and range for #f(x)=sqrt(2x-8)#?

##### 1 Answer

Sep 21, 2015

The domain is:

The range is:

#### Explanation:

hence the domain is calculated as follow:

In interval form:

Now to find the range, consider the possible minimum and the maximum values of y for the valid domain, so in this case the range is all positive real numbers: