若对于一切实数a,b均有f(ab)=f(a)f(b),且f(0)不等于0,则f(2010)的值?
问题描述：
若对于一切实数a,b均有f(ab)=f(a)f(b),且f(0)不等于0,则f(2010)的值?
答
f(ab)=f(a)f(b);
f(0)=f(0)*f(0);
f(0)=1;
f(0)=f(x)*f(0);
f(x)=1;
f(2010)=1
答
f(ab)=f(a)f(b),
f(2010*0)=f(0)=f(0)*f(2010)
f(2010)=f(0)/f(0)=1