# Inverse functions

Only a one-to-one function can have an inverse function. Any one-to-one relationship (e.g. $$y = {x^3}$$ or $$y = \ln x$$) or many-to-one relationship (e.g. $$y = {x^2}$$ or $$y = \sin x$$) is a function. However, if we tried to find the inverse of a many-to-one function, we would obtain a one-to-many relationship which is not a function. Therefore, only a one-to-one function can have an inverse function.Use the interactive Geogebra applet...

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