# Question: prove that for any bijection f a b...

###### Question details

Prove that for any bijection f : A → B there exists another function g : B → A such

thatforanya∈A,(g◦f)(a)=a,andforanyb∈B,(f◦g)(b)=b. (Thisfunctiong

is called the inverse function of f and is also denoted f−1.)