Answer:
g(f(x)) = x² + 6x + 9
General Formulas and Concepts:
Algebra I
- Composite Functions
- Combining Like Terms
Step-by-step explanation:
Step 1: Define
f(x) = x² + 6x + 7
g(x) = x + 2
g(f(x)) is x = f(x)
Step 2: Find g(f(x))
- Substitute: g(f(x)) = (x² + 6x + 7) + 2
- Combine like terms: g(f(x)) = x² + 6x + 9
