f(2x) = 2f(x)+1 for all real number x. And f(0.5) = 1, then what is the value of

游客2024-01-12 60

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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