Let x be a set and f x rarr r be a real-valued function
Let X be a set and f : X → R be a real-valued function. Show that the relation givenby x ∼ y if and only if f(x) = f(y) is an equivalence relation on X.Remark: Equivalence classes for this relation are called level sets of f.
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let x be a set and f x rarr r be a real-valued function show that the relation givenby x sim y if and only if fx fy
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