How do you find the domain of a function?

Problem Statement

How do you find the domain of a function?

Step-by-Step Explanation

The domain is the set of input values that make a function defined.

1. Identify what the question is asking. In College Algebra, this usually means naming the known quantities, the unknown quantity, and the concept that connects them.
2. Write the relevant definition, rule, or relationship before substituting numbers or manipulating symbols.
3. Work one step at a time and keep units, signs, and restrictions visible.
4. Check whether the answer makes sense in the original context.

Final Answer

The domain is the set of input values that make a function defined. The reliable strategy is to start from the definition, apply the correct rule carefully, and then interpret the result in plain language.