To understand how to work with composite functions, just follow these simple steps:

1. Find the functions: Imagine we have two functions: $f(x)$ and $g(x)$.

2. Set up the composition: You’ll want to look at $f(g(x))$ or $g(f(x))$, depending on what you're trying to find.

3. Substitute: This means you take the output of one function and use it in the other function.

Let’s look at an example: If we have $f(x) = 2x + 3$ and $g(x) = x^2$, and we want to find $f(g(2))$:

First, we need to find $g(2)$:

• Calculate $g(2) = 2^2 = 4$.

Now we take that result and plug it into $f$:

• Substitute 4 into $f$: $f(4) = 2(4) + 3 = 11$.

And that's it! It’s really quite straightforward!