\begin{frame} \frametitle{Inverse Functions} \begin{block}{} To find the inverse function of $f$: \begin{itemize} \item solve the equation $y = f(x)$ for $x$ in terms of $y$ \end{itemize} \end{block} \pause\medskip \begin{exampleblock}{} Find the inverse function of $f(x) = x^3 + 2$. \pause \begin{talign} &y = x^3 + 2\\ \mpause[1]{\implies} &\mpause[1]{x^3 = y - 2}\\ \mpause[2]{\implies} &\mpause[2]{x = \sqrt[3]{y - 2}} \end{talign} \pause\pause\pause Therefore the inverse function of $f$ is $f^{-1}(y) = \sqrt[3]{y - 2}$ \end{exampleblock} \end{frame}