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\begin{exercise}

Soient $g$ et $h$ les fonctions d\'{e}finies sur $]-1;+\infty\lbrack$

respectivement par:%

\[g(x)=\cfrac{2x^{2}-7x-15}{x+1}\quad\text{et}\quad h(x)=2x-9+\cfrac{-6}{x+1}\]





\begin{enumerate}

\item D\'{e}velopper $(2x+3)(x-5)$.



\item Montrer que $g=h$.



\item D\'{e}terminer les \'{e}ventuels ant\'{e}c\'{e}dents de $0$ par $g$.



\item En d\'{e}duire les \'{e}ventuels ant\'{e}c\'{e}dents de $0$ par $h$.

\end{enumerate}

\end{exercise}





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