Practice Domain in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The domain of a function is the complete set of allowable input values for which the function produces a defined, valid output.
The domain is the list of valid "questions" you can ask the function — values outside the domain produce undefined or meaningless answers.
Example 1
easyFind the domain of f(x) = \sqrt{x - 3}.
Example 2
mediumFind the domain of g(x) = \frac{1}{x^2 - 4}.
Example 3
mediumFind the domain of h(x) = \frac{\sqrt{x + 1}}{x - 5}.
Example 4
hardFind the domain of f(x) = \ln(9 - x^2).