\chapter{Functions and graphs} \section{Composition of functions}Answer the questions in your own words. \begin{enumerate} \item If \(f\) and \(g\) are functions, what is \(f\circ g\) called? \item How is \(f \circ g \) defined? \item Is \(f\circ g\) always the same as \(g\circ f\)? \item If \(f(x)=x\) and \(g(x)=x^2\), are \((fg)(x)\) and \((f\circ g) (x)\) the same? \item Suppose \((f\circ g) (x)=1+x^3\) and \(g(x)=x^3\). What is \(f(x)\)? \end{enumerate}
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