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

  1. Enter a function in the f(x) = input field. Use x as the variable, ^ for exponents, and sqrt() for square roots.
  2. Supported formats:
    • Linear: 2x+3, -x+5
    • Quadratic: x^2, 3x^2
    • Rational: 1/x, (x-1)/(x+1)
    • Square root: sqrt(x)
  3. Click "Calculate Inverse" to get the result.
  4. The inverse function appears in green, along with step-by-step explanation below.
  5. 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.

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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.

Reviewed by Experts

Eurico José Kiala

Eurico José Kiala

Mathematician

Teacher

LinkedIn
João Lino

João Lino

Mathematician

LinkedIn
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