Domain Calculator
Find the real-number domain of common algebraic functions. Enter a function, analyze restrictions, and view the result in interval and set-builder notation.
Type an expression such as 1/(x-3), sqrt(x+2), or ln(x-1).
The calculator checks denominators, square roots, and logarithms.
See interval notation, excluded values, and the reason.
Polynomials accept all real numbers. Rational functions exclude values that make a denominator zero. Even roots require the radicand to be zero or positive. Logarithms require their argument to be strictly positive.
This calculator recognizes common single-variable forms including polynomials, simple rational functions, square roots, and natural or base-10 logarithms. Complex nested expressions may require symbolic math software.
What is the domain of a function?
The domain is the complete set of input values for which the function produces a valid output.
Why can a denominator not equal zero?
Division by zero is undefined, so any input that makes a denominator zero must be excluded.
Why must a square-root radicand be nonnegative?
For real-valued functions, an even root is only defined when the expression inside the root is at least zero.
Results are estimates generated locally in your browser using standard mathematical formulas. They are for informational and educational purposes only and are not a substitute for verification in coursework, examinations or professional contexts requiring certified accuracy. VisionVix accepts no liability for decisions based on this tool's output.
This tool provides educational domain analysis for common algebraic forms. Verify advanced, piecewise, trigonometric, or heavily nested expressions with a qualified instructor or symbolic algebra system.
