Invertible Function

Function for which the dependent and independent variables that define the relationship between the domain and the image can be interchanged so that the new relationship obtained is also a function.

In other words, a function is invertible if its reciprocal is also is a function.

Example

The function f defined by the relation y = 3x − 2 is invertible. By interchanging the variables x and y, the relation becomes x = 3y − 2 or y = [latex]\dfrac{(x + 2)}{3}[/latex]. The relation g defined by y = [latex]\dfrac{(x + 2)}{3}[/latex] is a function.

Invertible Function

Example

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