2010009901
Część:
B
Znajdź dziedzinę \(\mathrm{Dom}(f)\)
i zbiór wartości \(\mathop{\mathrm{Ran}}(f)\) funkcji \(f(x) = \frac{x-3}
{x+1}\).
\begin{align*}
\mathrm{Dom}(f) &= (-\infty ;-1)\cup (-1;\infty ),\\
\mathop{\mathrm{Ran}}(f) &= (-\infty ;1)\cup (1;\infty )
\end{align*}
\begin{align*}
\mathrm{Dom}(f) &= (-\infty ;1)\cup (1;\infty ),\\
\mathop{\mathrm{Ran}}(f) &= (-\infty ;-1)\cup (-1;\infty )
\end{align*}
\begin{align*}
\mathrm{Dom}(f) &= (-\infty ;3)\cup (3;\infty ),\\
\mathop{\mathrm{Ran}}(f) &= (-\infty ;-1)\cup (-1;\infty )
\end{align*}
\begin{align*}
\mathrm{Dom}(f) &= (-\infty ;-3)\cup (-3;\infty ),\\
\mathop{\mathrm{Ran}}(f) &= (-\infty ;1)\cup (1;\infty )
\end{align*}