InterviewSolution
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InterviewSolution
| 1. |
Let f(x) be a function such that f(x).f(y)=f(x+y), f(0)=1, f(1)=4. If 2g(x)=f(x)(1-g(x)) then (1) g(x)+g(1-x)=0 (2) g(x)=1-g(1-x) (3) ∑_{k=1}^9g(k/10)=9/2 (4) ∑_{k=1}^{18}g(k/19)=9 |
| Answer» Let f(x) be a function such that f(x).f(y)=f(x+y), f(0)=1, f(1)=4. If 2g(x)=f(x)(1-g(x)) then (1) g(x)+g(1-x)=0 (2) g(x)=1-g(1-x) (3) ∑_{k=1}^9g(k/10)=9/2 (4) ∑_{k=1}^{18}g(k/19)=9 | |