Inverse functions

IB Maths: Analysis & Approaches: 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.Inverse functions are an important...

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