10. Common Mistakes to Avoid When Working with Inverse Functions

1. Ignoring Domain Restrictions:

   Sometimes, people forget to think about the original function's limits.

   This can lead to finding incorrect inverse functions.

2. Incorrectly Reflecting Points:

   When drawing the graphs of inverse functions, it's easy to place points in the wrong spot.

   Make sure to switch the $x$ and $y$ values correctly!

3. Forgetting to Verify:

   Many students skip the important step of checking if $f(f^{-1}(x)) = x$.

   This step is really important!

Solution:

Practice these ideas often and review them.

This will help you understand inverse functions better!