若f(x)满足f(x)+2f(1/x)=3x,则f（x）=?
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若f(x)满足f(x)+2f(1/x)=3x,则f（x）=?若f(x)满足f(x)+2f(1/x)=3x,则f（x）=?若f(x)满足f(x)+2f(1/x)=3x,则f（x）=?f(x)+2f(1/
若f(x)满足f(x)+2f(1/x)=3x,则f（x）=?
若f(x)满足f(x)+2f(1/x)=3x,则f（x）=?
若f(x)满足f(x)+2f(1/x)=3x,则f（x）=?
f(x)+2f(1/x)=3x,(1)
令x=1/x,则有
f(1/x)+2f(x)=3/x,(2)
将f(x),f(1/x)当作两个未知数解出f(x),
由(1)-(2)*2
得到:
-3f(x)=3x-6/x
所以
f(x)=-x+2/x
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(1)若f(x)满足2f(x)+f(1/x)=3x,求f(x).