# What is the domain and range of #y =sqrt((x^2-5x-14))#?

##### 1 Answer

Feb 5, 2017

Domain: All

Range: All

#### Explanation:

The **domain** can be described as all the "legal" values of

- You can't divide by zero
- You can't have negatives under a square root

If you find the "illegal" values, then you know the domain is all

The "illegal" values of

Now separate the two factors and flip one of the inequalities. One of the terms has to be negative (i.e.,

The domain is all

Domain: All

The **range** are all values of

Range: All