# What is the domain and range of #f(x) =sqrt(-2x+5)#?

##### 1 Answer

Mar 16, 2016

Domain: (

Range: [

#### Explanation:

Square roots should never have a negative value under the radical, otherwise, the solution to the equation will have an imaginary component.

With this in mind, the domain of

Mathematically,

This can be expressed as

The corresponding range can be determined by plugging in the values from the domain. In doing so, it becomes clear that the range is