No, the inverse of a function is not always a function. For a function to have an inverse, it must be a one-to-one function, meaning that each element in the domain maps to only one element in the range. If a function is not one-to-one, then its inverse will not be a function because there will be multiple elements in the domain that map to the same element in the range. In these cases, the inverse will be a relation rather than a function.
