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Inverse Function Calculator

Find the inverse of a linear or rational function f(x) = (ax + b)/(cx + d) — with the domain of each and a graph showing the reflection over y = x.

f(x) = (a·x + b)/(c·x + d)  →  find f⁻¹(x)
f(x) = ax + b cx + d

Works for f(x) = (a·x + b)/(c·x + d). Set c = 0 and d = 1 for a simple linear function a·x + b.

Results

Inverse function
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f(x)
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Domain of f
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Domain of f⁻¹
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Graph — f, f⁻¹, and y = x

f(x)f⁻¹(x)y = x

A function and its inverse are mirror images across the line y = x.

Step-by-step