# Find the Domain of a Function

## Original question text:

What is the domain of the function f(x) = (Square root x) -2 ?

Choices:(1) {x/x ≥ 0}(2) {x/x ≥ 2}(3) {x/x ≤ 2}(4) {x/x ≥ -2}Please give an explanation along with your answer. Thanks!## How can Algebrator help you with this problem?

Algebrator can easily solve problems such as the one you posted on Yahoo Answers.

I have solved your problem using Algebrators "Find the Domain of a Function".

You start by selecting the appropriate "Function" Wizard.

You then have to paste the given function in the Wizards worksheet and press the "Solve" button.

I have solved 2 different functions, because I was not sure if the root was only for the x or if it also included the "-2".

So you will see both problems solved.

Some Important features are:

1.Flash demos, found under the drop-down menu "Help->Tutors".

The demos are also available online at "https://softmath.com/demos/", where you may simply select any of the ".htm" files and the demo will play within your browser

2. Wizard button - for example, click the Wizard button and look under the category of "Functions" to see the many useful templates for Functions.

3. The Explain button, which provides the mathematical logic involved in the selected step.

This is the Graph that represents the solution.

This is the second function, including the term (x-2) in the root.

You can see the rest of the solution process by pressing the "Solve" button several times.

This is the graph that represents the solution for the second equation.

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