设f(x)满足3f(x)+2f(x分之1)=4x,求f(x)?

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设f(x)满足3f(x)+2f(x分之1)=4x,求f(x)?

设f(x)满足3f(x)+2f(x分之1)=4x,求f(x)?
设f(x)满足3f(x)+2f(x分之1)=4x,求f(x)?

设f(x)满足3f(x)+2f(x分之1)=4x,求f(x)?
把x换成1/x 得3f(1/x)+2f(x)=4/x 联立题目所给条件 解得f(x)=12x/5 - 8/5x

3f(x)+2f(1/x)=4x 3f(1/x)+2f(x)=4/x f(x)-f(1/x)=4x-4/x 2f(x)-2f(1/x)=8x-8/x 5f(x)=12x-8/x f(x)=12x/5-8/5x