When working with composed functions, it’s important to avoid these common mistakes:

1. Wrong Order: Remember, $f(g(x))$ is not the same as $g(f(x))$. Always be careful about the order you use when applying the functions!

2. Mixing Up Variables: Don’t get the variable names confused! Each function might use different names, so make sure you know what each symbol means.

3. Double Negatives: Watch out for negative signs; they can change the results of your composed functions a lot!

4. Ignoring Domain Restrictions: Always check the domains! The output of one function needs to be a valid input for the next function.

If you steer clear of these mistakes, you’ll have a much more successful time learning about composed functions!