How do you find the inverse of a function?

Problem Statement

How do you find the inverse of a function?

Step-by-Step Explanation

An inverse function reverses input and output, usually found by swapping x and y and solving for y.

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

An inverse function reverses input and output, usually found by swapping x and y and solving for y. The reliable strategy is to start from the definition, apply the correct rule carefully, and then interpret the result in plain language.