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

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

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

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

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

\[ \lim \limits _{x \to 5^-} h(x) = \answer {\infty } \]
\[ \lim \limits _{x \to -\infty } h(x) = \answer {-\infty } \]
2025-05-17 23:53:01