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)=______.
答
∵f(x+10)=2f(x+9)=4f(x+8)=…=1024f(x),
∵f(0)=1,
则f(-10)=
f(0)=1 1024
1 210
故答案为:
1 210