一道英文数学题,Let f be a real-valued function of real and positive
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一道英文数学题,Let f be a real-valued function of real and positive argument such that f(x)+3xf(1/x)=2(x+1) for all real numbers x>0.Find f(2003).
![一道英文数学题,Let f be a real-valued function of real and positive](/uploads/image/z/15592259-11-9.jpg?t=%E4%B8%80%E9%81%93%E8%8B%B1%E6%96%87%E6%95%B0%E5%AD%A6%E9%A2%98%2CLet+f+be+a+real-valued+function+of+real+and+positive)
中间那个是‘x '还是乘啊.如果是乘则令x=1/x代入原式,联列2个关于f(x)及f(1/x)的表达式,得f(x)=3/x-2x+1.如果是’x'同理,则,f(x)=(x+1)/2.real-value指的是自变量x为实数.you know i*i=-1.题目出现x和1/x.把x带成i*x应该会出错滴
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