设f(x)满足3f(x)+2f(1/x)=4x,则f(x)=__.
问题描述:
设f(x)满足3f(x)+2f(1/x)=4x,则f(x)=__.
答
3f(x)+2f(1/x)=4x1
用x替代1/x
3f(1/x)+2f(x)=4/x 2
1*3-2*2得
5f(x)=12x-8/x
f(x)=12/5x-8/5x