若函数f(x)满足f(x+10)=2f(x+9),且f(0)=1,则f(-10)=_.

问题描述:

若函数f(x)满足f(x+10)=2f(x+9),且f(0)=1,则f(-10)=______.

∵f(x+10)=2f(x+9)=4f(x+8)=…=1024f(x),
∵f(0)=1,
则f(-10)=

1
1024
f(0)=
1
210

故答案为:
1
210