Answer:
(f · g)(x) = 3x³ + 6x² - 5x - 10
General Formulas and Concepts:
- Distributive Property
- FOIL (First, Outside, Inside, Last)
Step-by-step explanation:
Step 1: Define
f(x) = x + 2
g(x) = 3x² - 5
Step 2: Find (f · g)(x)
- Set up: (x + 2)(3x² - 5)
- FOIL: 3x³ - 5x + 6x² - 10
- Combine like terms: 3x³ + 6x² - 5x - 10
