We know that the function f (x) defined on the real number set is not always 0, and for any X. y belongs to R, satisfying XF (y) = YF (x), and judge the parity of F (x)
f(y)=yf(x)/x
f(-y)=-yf(x)/x=-f(y)
So f (x) is an odd function
RELATED INFORMATIONS
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