If two relations are inverses, the domain of one relation is the range of the other.

This is because inverse relations switch the roles of inputs (domain) and outputs (range). Hence, the domain of the original relation becomes the range of its inverse, and vice versa.

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Here are five related questions for you:

1. How do you determine if two relations are inverses of each other?
2. What is the graphical relationship between a function and its inverse?
3. Can a relation always have an inverse? Why or why not?
4. How does the concept of inverse apply to linear functions?
5. How does the vertical line test help in identifying inverses?

Tip: To verify two functions are inverses, compose them (f(g(x)) and g(f(x)))—the result should be the identity function, $x$.