1) Consider the example y=f(x)=x3 My statistics textbook say x=f -1(y)=y1/3 is the inverse of f On the other hand, my calculus textbook says y=x1/3 is the inverse of f So I am confused...it looks like the idea of inverse is used inconsistently. (When you plot both functions on the xy-plane, you will certainly see two different graphs.) Which one is the correct one according to the precise definition of inverse? 2) I don't get the difference between the "inverse" of f and the "inverse image" or "premiage". Can somebody explain? Thank you!