2010009901
Časť:
B
Určte definičný obor \(\mathrm{D}(f)\)
a obor hodnôt \(\mathop{\mathrm{H}}(f)\) funkce \(f(x) = \frac{x-3}
{x+1}\).
\begin{align*}
\mathrm{D}(f) &= (-\infty ;-1)\cup (-1;\infty ),\\
\mathop{\mathrm{H}}(f) &= (-\infty ;1)\cup (1;\infty )
\end{align*}
\begin{align*}
\mathrm{D}(f) &= (-\infty ;1)\cup (1;\infty ),\\
\mathop{\mathrm{H}}(f) &= (-\infty ;-1)\cup (-1;\infty )
\end{align*}
\begin{align*}
\mathrm{D}(f) &= (-\infty ;3)\cup (3;\infty ),\\
\mathop{\mathrm{H}}(f) &= (-\infty ;-1)\cup (-1;\infty )
\end{align*}
\begin{align*}
\mathrm{D}(f) &= (-\infty ;-3)\cup (-3;\infty ),\\
\mathop{\mathrm{H}}(f) &= (-\infty ;1)\cup (1;\infty )
\end{align*}