My teacher discussed an in and out method that could be used however I don't understand how that works. Can someone explain it to me? The teacher said this method would allow us to determine the domain and range without knowing what the graph looked like. How I have been doing it is looking at the domain of the inner function then looking at the domain of the composition function to figure out the domain of the composition function. However this method requires you to know how the graph looks like. Is that right?