已知函数f(x)满足2f(x)+f(-x)=3x+2,求f(2)

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已知函数f(x)满足2f(x)+f(-x)=3x+2,求f(2)已知函数f(x)满足2f(x)+f(-x)=3x+2,求f(2)已知函数f(x)满足2f(x)+f(-x)=3x+2,求f(2)2f(x

已知函数f(x)满足2f(x)+f(-x)=3x+2,求f(2)
已知函数f(x)满足2f(x)+f(-x)=3x+2,求f(2)

已知函数f(x)满足2f(x)+f(-x)=3x+2,求f(2)
2f(x) + f(-x) = 3x + 2 ①
2f(-x) + f(x) = -3x + 2 ②
①式 × 2 - ②式 得:
3f(x) = 9x + 2
f(x) = 3x + 2/3
所以 f(2) = 3 × 2 + 2/3 = 20/3

2f(x)+f(-x)=3x+2
则2f(2)+f(-2)=8,2f(-2)+f(2)=-4
解得f(2)=20/3