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).

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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