Explanation

Modeling means using math to represent real-life situations.

Composite functions can model multiple steps.

Example:

• Step 1: Add tax

• Step 2: Add shipping

Let:
f(x) = x + 5 (shipping)
g(x) = x × 1.10 (10% tax)

g(f(x)) means:

• Add shipping first

• Then add tax

This helps show how changes happen step-by-step.

Quiz: Modeling with Composite Functions

1. What does modeling mean?

2. Why are composite functions useful in real life?

3. If f(x) = x + 3, what does f(x) represent?

4. If g(x) = x × 2, what does g(x) represent?

5. Does order matter when composing functions?

Answer Key

1. Using math to represent real situations

2. They show multiple steps

3. Adding 3

4. Doubling a value

5. Yes