Domain Calculator
Calculate the domain of a function or a set of numbers. Supports polynomials, rational functions, square roots, and logarithms.
Published by:
isCalculator Editorial Team
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How to use this tool?
How to Use the Domain Calculator
- Enter a function in the input field labeled "Enter Function f(x)". Use
xas the variable. Supported operations:^for exponent (e.g.,x^2)sqrt()for square root (e.g.,sqrt(x+1))log()for natural logarithm (e.g.,log(x))- Standard arithmetic:
+,-,*,/, parentheses
- Click "Calculate Domain" or press Enter while the input is focused.
- Read the result:
- If no restrictions are found, the domain is all real numbers (ℝ).
- If restrictions exist, the calculator lists the conditions (e.g.,
Inside sqrt: x+3 ≥ 0orDenominator: x-2 ≠ 0).
- Interpret the constraints manually: combine inequalities to find the set of
xvalues that satisfy all conditions.
Tip: Use the example sqrt(x+3)/(x-2) to see how square roots and denominators create domain restrictions.
Previous Results
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Frequently Asked Questions
The domain of a function is the set of all possible input values (x) for which the function is defined.
Use standard notation. For exponentiation use ^ (e.g., x^2). Use sqrt() for square root and log() for natural logarithm. Example: sqrt(x+3)/(x-2).
Polynomials, rational functions, square roots, and natural logarithms. Other functions may not be parsed correctly.
