# What is the domain of the function?

##### 1 Answer

Apr 8, 2018

#### Explanation:

Recall that the **domain** is the set of valid inputs to the function. In this case, it is the set of all pairs

Also recall that, while you cannot take the square root of a negative number, you can take the cube root of a negative number. For example,

Additionally,

Thus, our domain is

*Note: This can be more concisely written as #D = {(x, y) in bbZtimesbbZ: y != 0}#*.