Answer:
f(x + 3) = x² + 3x - 2
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Expand by FOIL (First Outside Inside Last)
Step-by-step explanation:
Step 1: Define
f(x) = x² - 3x - 2
f(x + 3) is x = x + 3
Step 2: Find
- Substitute: f(x + 3) = (x + 3)² - 3(x + 3) - 2
- Expand by FOILing: f(x + 3) = x² + 6x + 9 - 3(x + 3) - 2
- Distribute 3: f(x + 3) = x² + 6x + 9 - 3x - 9 - 2
- Combine like terms: f(x + 3) = x² + 3x - 2
