I'm new to topology and have a pretty basic proof to perform but haven't had much experience with proofs and could use some help,
Question asks, to prove that if f: A -> B and X is a subset of A
prove that X is a subset of f^-1( f(X)) i.e that X is a subset of the pre-image of the image of X,
this makes perfect sense to me that it's true but i'm unsuer how to construct the proof any help would be appreciated, cheers.