Using the definition, Prove that the function `f:A to B` is invertible if and only if `f` is both one-one and onto.

Answer

N/a

Explanation

A function `f:X to Y ` is defined to be invertible, if there exist a function `g=Y to X` such that `gof= I_(X)` and `fog=I_(Y)`. The function is called the inverse of f and is denoted by `f^(-1)`.
A function `f=X to Y` is invertible if f is a bijective function.