\chapter{Functions and graphs}
\section{Inverse functions}
Answer the questions in your own words.
\begin{enumerate}
\item
What is the inverse of a function \(f\)?
\item
Is it always possible to find the inverse of a given function \(f\)?
\item
If the inverse of \(f\) exists, what is the notation for it?
\item
How can we tell from the graph of a function if it has an inverse?
\item
Given two functions \(f\) and \(g\), how can we check if they are inverses of each other?
\item
Given an algebraic formula for \(f\), how can we find the inverse function?
\item
Suppose that \((f\circ g)(x)=x\). Does this mean that \(f\) and \(g\) are inverses of each other?
\end{enumerate}