已知函数f (x )满足f(1)=1/4,4f(x)f(y)=f(x+y)+f(x-y)(x,y属于R),则f(2010)=?f(x+2)=-f(x-1)即f(x)=f(x+6)
问题描述:
已知函数f (x )满足f(1)=1/4,4f(x)f(y)=f(x+y)+f(x-y)(x,y属于R),则f(2010)=?
f(x+2)=-f(x-1)
即f(x)=f(x+6)
答