函数f(x)的定义域为r若f(x+y)=f(x)+(y),f(8)=3则f(2)

来源:百度知道 编辑:UC知道 时间:2024/06/23 21:37:19

f(8)=f(4+4)=f(4)+f(4)=3
所以f(4)=1.5
又因为
f(4)=f(2)+f(2)
所以f(2)=0.75

令x=4 y=4
若f(x+y)=f(x)+(y),
f(8)=f(4+4)=f(4)+f(4)=2f(4)=3 f(4)=3/2
f(4)=f(2)+f(2)=2f(2)=3/2 f(2)=3/4

f(8)=f(4+4)=f(4)+f(4) =2f(4)
f(4)=f(2+2)=2f(2)
f(8)=4f(2)
f(2)=3/4

因为f(x+y)=f(x)+(y),则f(4+4)=f(4)+f(4)=f(8)=3,所以f(4)=1.5,同理f(2)=0.75

f(8)=f(4+4)=f(4)+f(4) =2f(4)
f(4)=f(2+2)=2f(2)
f(8)=4f(2)
f(2)=3/4