Let $f: A \rightarrow B$ and $g: B \rightarrow A$ be 1-1 and onto. Identify $(g \circ f)^{-1}$.
First I need to identify the inverse, then prove it qualifies as the inverse.
These types of functions are very difficult to understand. If I have a function that goes from A to B does that mean the inverse is just from B to A? It can't be that simple. I don't know even know where to start with this.