Let \(X(t) = \log _5(t+3) - 4\) with its natural domain.

The graph of \(z = X(t)\) is to the left right of the vertical asymptote \(t = -3\).

The domain of \(z = X(t)\) is

\[ \left ( \answer {-3}, \answer {\infty } \right ) \]

\(X(t)\) is an increasing decreasing function.

\[ \lim \limits _{t \to -3^+} X(t) = \answer {-\infty } \]
\[ \lim \limits _{t \to \infty } X(t) = \answer {\infty } \]
2025-05-17 23:54:38