# Left Invertible Functions

by Open Science Repository Mathematics

(September 2014)

#### Abstract

A function which has an inverse from the left side is called left invertible. It is obvious that a function is left invertible if and only if it is an injection; that is, if a function is given to be an injection then it has at least one left inverse. The question in this case is that, how many left inverses can be there for a given injective function? This paper will address an independent new approach to derive the formula used to count the number of left inverses of an injection.

**Keywords:** mathematics, left invertible functions.

#### Full text

Left Invertible Functions
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