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数学
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定义域为R的函数f(x)满足f(x)+2f(-x)=2x+1,则f(x)=( )
A. -2x+1
B. 2x-
1
3
C. 2x-1
D. -2x+
1
3
人气:126 ℃ 时间:2019-10-04 06:56:39
解答
∵f(x)+2f(-x)=2x+1,①,
令x=-x,
则f(-x)+2f(x)=-2x+1,②,
②×2-①得,
3f(x)=-6x+1,
∴f(x)=-2x+
1
3
,
故选:D.
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