SAT Math : How to find the domain of a function

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #31 : How To Find The Domain Of A Function

Define a real-valued function .

Give the domain of the function.

Possible Answers:

None of these

Correct answer:

Explanation:

The domain of a square root function is exactly the set of values of  for which the radicand takes on a nonnegative value. Therefore, it holds that to find the domain of , we can set up the inequality

and solve for  using the properties of inequality:

In interval notation, this is the set .

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