Domain Math Example 3
Follow the full solution, then compare it with the other examples linked below.
Example 3
mediumFind the domain of .
Solution
- 1 The square root requires , so .
- 2 The denominator requires .
- 3 Combine: and , giving .
Answer
When a function involves both a square root and a fraction, apply both constraints: the radicand must be non-negative and the denominator must be nonzero.
About Domain
The domain of a function is the complete set of allowable input values for which the function produces a defined, valid output.
Learn more about Domain โ