Interesting graphs problems in Mr. Jackson's class

I found the problems concerning functions inside of functions very interesting in graphical form. The idea of taking the y value from the inside equation and using it as the x of another is weird and fun. It was confusing at one point, but after working through the problems a few times, I understand it much better. Seeing the function inception on a graph really helped me visualize what the problems meant and how they might be useful in real life. This concept made me wonder what else we will learn in Precalc that can apply to the real world.