% Dans le préambule
% -----------------
\usepackage{tikz,tkz-base}
% -----------------

\begin{tikzpicture}[scale=0.5,>=latex]
\tkzInit[xmin=-2,xmax=2,ymin=-2,ymax=2]
\tkzDrawXY

\clip (-2,-2) rectangle (2,2);

% La courbe
\draw[domain= -2:-0.2] plot (\x, {1/\x} );
\draw[domain=0.2:2   ] plot (\x, {1/\x} );
\end{tikzpicture}