已知函数f(x)满足条件,2f(-x)+fx=2x-3(x属于R),求f(x)的解析式
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![已知函数f(x)满足条件,2f(-x)+fx=2x-3(x属于R),求f(x)的解析式](/uploads/image/z/8624661-69-1.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%E6%BB%A1%E8%B6%B3%E6%9D%A1%E4%BB%B6%2C2f%28-x%29%2Bfx%3D2x-3%EF%BC%88x%E5%B1%9E%E4%BA%8ER%EF%BC%89%2C%E6%B1%82f%EF%BC%88x%EF%BC%89%E7%9A%84%E8%A7%A3%E6%9E%90%E5%BC%8F)
已知函数f(x)满足条件,2f(-x)+fx=2x-3(x属于R),求f(x)的解析式
已知函数f(x)满足条件,2f(-x)+fx=2x-3(x属于R),求f(x)的解析式
已知函数f(x)满足条件,2f(-x)+fx=2x-3(x属于R),求f(x)的解析式
2f(-x)+f(x)=2x-3①
代入-x,得
2f(x)+f(-x)=-2x-3②
②×2-①,得
3f(x)=-6x-3
f(x)=-2x-1
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