设f(x)满足3f(x)+2f(1/x)=4x,则f(x)=＿＿._其他解答

设f(x)满足3f(x)+2f(1/x)=4x,则f(x)=＿＿.

人气：480 ℃　时间：2020-10-01 19:11:05

解答

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