Let \(g(x) = -2 \log _3(x-5)\) with its natural domain.

The graph of \(y = g(x)\) is to the left right of the vertical asymptote \(x = 5\).

The domain of \(y = g(x)\) is

\[ \left ( \answer {5}, \answer {\infty } \right ) \]

\(g(x)\) is an increasing decreasing function.

\[ \lim \limits _{x \to 5^+} g(x) = \answer {\infty } \]
\[ \lim \limits _{x \to \infty } g(x) = \answer {-\infty } \]
2025-05-17 23:51:49