Final answer:
To compute p(p(-3)), we first find p(-3) which is -5, then we apply the function p(x) to -5 giving us p(-5) which results in -11.
Step-by-step explanation:
To calculate p(p(-3)), we first need to evaluate the inner function p(-3). Since P(x) = 3x + 4, we substitute -3 for x to get P(-3) = 3(-3) + 4 = -9 + 4 = -5. Next, we use this result as the input to the outer function and again apply P(x), so we have p(-5) = 3(-5) + 4 = -15 + 4 = -11. Therefore, p(p(-3)) is -11.