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\begin{frame}
\frametitle{1st Midterm Exam - Review}

\begin{exampleblock}{}
Express the domain of the function
\begin{talign}
f(x) = \frac{x + \log (x+1) + \sqrt{5-x}}{x-2}
\end{talign}
as a union of intervals.
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We analyze the parts:
\begin{itemize}
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\item $\log (x+1)$ is defined for \pause $x > -1$, thus $(-1,\infty)$
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\item $\sqrt{5-x}$ is defined on $x \le 5$, thus $(-\infty,5]$
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\item the fraction $\frac{\ldots}{x-2}$ is defined for \pause$x\ne 2$, thus $(-\infty,2) \cup (2,\infty)$
\end{itemize}
\pause\medskip

\alert{The domain of $f$ is not:
\begin{talign}
\end{talign}}
\pause\pause
The domain of $f$ is:
\begin{talign}
(-1,2) \cup (2,5]
\end{talign}
\end{exampleblock}
\end{frame}