Question

Please help me on this question

Answer 1

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))

1. Substitute:                     g(f(x)) = (x² + 6x + 7) + 2
2. Combine like terms:     g(f(x)) = x² + 6x + 9