4921f2…: “Out of a bad town”

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Here is the formula and graph of $V$.

\[ V(h) = \begin{cases} -2h-3 & \text { if } [-6, -2] \\ -(h+3)(h-3) & \text { if } (-2, 4] \\ \frac {7h}{4} - 8 & \text { if } (4,6) \end{cases} \]

Suppose the function $p$ is defined through the equation $p(m) = V(m+5)$.

What is the induced domain of $p$?

\[ \left [ \answer {-11}, \answer {-7} \right ] \cup \left ( \answer {-7}, \answer {-1} \right ] \cup \left ( \answer {-1}, \answer {1} \right ) \]

2025-05-17 21:29:43