已知函数f(x)满足f(ab)=f(a)+f(b),求证:f(x/y)=f(x)-f(y)(y≠0).
3个回答
取a=x/y,b=y代入f(ab)=f(a)+f(b)
f(x)=f(x/y)+f(y)
所以f(x/y)=f(x)-f(y)
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