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Forums
Mathematics
General Math
Proof about pre-images of functions
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[QUOTE="PeroK, post: 6814771, member: 493650"] Let ##x \in L##. Then ##y = f(x) \in f(L)##. Now, what is, by definition, ##f^{-1}(f(L))##? And why is ##x \in f^{-1}(f(L))##? Hint: it might help conceptually (be less confusing) to let ##X = f(L)## so that ##y = f(x) \in X## and show that ##x \in f^{-1}(X)##. PS the trick with these proofs is to get all the logical steps in the right order. [/QUOTE]
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Forums
Mathematics
General Math
Proof about pre-images of functions
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