Question

Ng Composite Functions
Given: f(x) = x - 7 and h(x) = 2x + 3
Write the rule for f(h(x)).

Answer 1

f(h(x)) = 2x - 4

General Formulas and Concepts:

Algebra I

• Composite Functions
• Combining Like Terms

Explanation:

Step 1: Define

f(x) = x - 7

h(x) = 2x + 3

f(h(x)) is x = h(x)

Step 2: Find f(h(x))

1. Substitute: f(h(x)) = (2x + 3) - 7
2. Combine like terms: f(h(x)) = 2x - 4