Function composition can be really tough for 9th graders learning Algebra I.

Here are some ways students find it hard:

1. Understanding Notation:

   • Kids often get confused by symbols like $f(g(x))$. It can be tricky to know how to use functions correctly.

2. Order of Operations:

   • The way we combine functions can change the answers we get. This can make students nervous about making mistakes.

3. Thinking About Inputs and Outputs:

   • It can be hard to picture how the results from one function become the starting point for another function.

To help students get better at this, teachers can:

• Use visual tools, like function maps, to show how they work.
• Give clear, step-by-step examples to follow.
• Encourage students to practice with different types of functions so they feel more confident.