Let f be a function from X toY. Define a relation R on X by xRy    if f(x) = f(y) Show that R is an equivalence relation. Is there a natural one-to-one function g related to f that maps the set of equivalence classes of R to Y ?

Advanced Engineering Mathematics
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ISBN:9780470458365
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Let f be a function from X toY. Define a relation R on X by

xRy    if f(x) = f(y)

Show that R is an equivalence relation. Is there a natural one-to-one function g related to f that maps the set of equivalence classes of R to Y ?

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