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Domain of a Function

D(f) — rules for different function types, examples, and a practice trainer.

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Domain of a Function — Rules

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Frequently Asked Questions

What is the domain of a function?

D(f) is the set of all x for which f(x) exists.

How do you find the domain of a rational function?

Denominator ≠ 0. For f(x)=1/(x−3): x≠3, D(f)=(−∞;3)∪(3;+∞).

What is the domain of √x?

The expression under the radical must be ≥ 0. For f(x)=√x: D(f)=[0;+∞).