f is purple, the mirror line y = x is gold and dashed, the reflected inverse is orange, and the composition g(f(x)) is blue. The horizontal test line is gold; red dots mean two or more crossings.
Your job
Tap a function on the left, then tap its inverse on the right (or the other way round). Every card is a button, so Tab and Enter work too.
Fictional people and practice numbers to learn the math.
Wrong picks are fine here. Each one tells you why.