Inverse Function Calculator
Find the inverse of a mathematical function. Supports linear, quadratic, rational, and polynomial functions. Enter a function f(x) and get f⁻¹(x).
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How to use this tool?
How to Use the Inverse Function Calculator
- Enter a function in the
f(x) =input field. Usexas the variable,^for exponents, andsqrt()for square roots. - Supported formats:
- Linear:
2x+3,-x+5 - Quadratic:
x^2,3x^2 - Rational:
1/x,(x-1)/(x+1) - Square root:
sqrt(x)
- Linear:
- Click "Calculate Inverse" to get the result.
- The inverse function appears in green, along with step-by-step explanation below.
- If an error occurs (e.g., unsupported function), a red alert message will show.
Tip: The calculator works with exact rational numbers and decimals. For best results, avoid spaces and use parentheses for rational functions.
Previous Results
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Frequently Asked Questions
Currently supports linear (ax+b), simple quadratic (ax^2), rational (1/x, (ax+b)/(cx+d)), and square root (sqrt(x)). More types will be added.
The calculator swaps x and y in the equation y = f(x) and solves for y. The resulting expression is f⁻¹(x).
The calculator uses pattern matching. For complex polynomials, trigonometric, or logarithmic functions, manual calculation is needed.