# Question #e8ec1

##### 1 Answer

**All real numbers ≥ 0**.

#### Explanation:

**Domain** is simply the set of all possible values you can plug into a function.

When solving a domain problem, the best question you can ask is *what values can I NOT plug into the function?*

For your function:

...the only possible problem you could have here is your square root: what is under the radical *cannot* be negative. Keeping this in mind:

As shown, the only values you *cannot* put into your function are values less than zero. Everything else is fine.

Hence, your domain would be **all real numbers ≥ 0**.

To get a visual sense of what this means, look at the graph of your function:

graph{sqrt(2x) + 9x - 2 [-35.86, 37.22, -12.4, 24.1]}

As you zoom in, you can see that the graph breaks at

Hope that helped :)