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f(2x) = 2f(x)+1 for all real number x. And f(0.5) = 1, then what is the value of
f(2x) = 2f(x)+1 for all real number x. And f(0.5) = 1, then what is the value of
游客
2025-02-23
5
管理
问题
f(2x) = 2f(x)+1 for all real number x. And f(0.5) = 1, then what is the value of f(4)?
选项
A、1
B、5
C、10
D、15
E、19
答案
D
解析
此题考查抽象函数,由已知关系可知,f(1)=2f(0.5)+1=3,f(2)=2f(1)+1=7,f(4)=2f(2)+1=15,故答案为D。
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