Show algebraically that the function \(\mathrm { f } ( x ) = \frac { 2 x } { 1 - x ^ { 2 } }\) is odd.
Fig. 7 shows the curve \(y = \mathrm { f } ( x )\) for \(0 \leqslant x \leqslant 4\), together with the asymptote \(x = 1\).
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{8350e810-3ceb-4876-a7a8-249e17616057-1_718_813_567_644}
\captionsetup{labelformat=empty}
\caption{Fig. 7}
\end{figure}