已知f(x)满足f(x)+2f(1/x)=3x,求f(x) ,
人气:216 ℃ 时间:2020-07-07 08:24:07
解答
f(x)+2f(1/x)=3x (1)
x、1/x同样在定义域上取值,将x换成1/x
2f(x)+f(1/x)=3/x (2)
(2)×2-(1)
3f(x)=6/x -3x
f(x)=2/x -x
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