\ANG{
Berechne die Definitionsmengen folgender Terme:\\[2mm]
\begin{tabular}[t]{ll}
(a) $\D T_{1}(x)=\frac{7}{x+|x|}$,\quad $\GG_{1}=\QQ$ &
(b) $\D T_{2}(x)=\frac{x}{x+|x|}$,\quad $\GG_{2}=\ZZ$\rule[-7mm]{0mm}{12mm}\\
(c) $\D T_{3}(x)=\frac{-2}{x-|x|}$,\quad $\GG_{3}=\QQ$ &
(d) $\D T_{4}(x)=\frac{-x^{2}}{x-|x|}$,\quad $\GG_{4}=\NN$
\end{tabular}
}
%
\LSG{
\begin{enumerate}
\item $x+|x|=\begin{cases}2x&\text{ f"ur $x>0$}\\0&\text{ f"ur $x\leqq
      0$}\end{cases}\qquad 
  \DD_{1}=\QQ^{+}=\{x|x>0\}$
\item $\DD_{2}=\NN$
\item $x-|x|=\begin{cases}0&\text{ f"ur $x\geqq 0$}\\
       2x&\text{ f"ur $x<0$}\end{cases}\qquad 
  \DD_{3}=\QQ^{-}=\{x|x<0\}$
\item $\DD_{4}=\{\,\}$
\end{enumerate}
}