对于任意实数x,函数f(x)满足af(x)+bf(x)=cx,求f(x)原题:对于任意实数x,函数f(x)满足af(x)+bf(1/x)=cx,(a,b,c≠0,a的平方不等于b的平方),则f(x)=________[c*(ax-b/x)]/(a^2-b^2)参考书上解析是将x换成1/x再联立方程
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![对于任意实数x,函数f(x)满足af(x)+bf(x)=cx,求f(x)原题:对于任意实数x,函数f(x)满足af(x)+bf(1/x)=cx,(a,b,c≠0,a的平方不等于b的平方),则f(x)=________[c*(ax-b/x)]/(a^2-b^2)参考书上解析是将x换成1/x再联立方程](/uploads/image/z/4023669-21-9.jpg?t=%E5%AF%B9%E4%BA%8E%E4%BB%BB%E6%84%8F%E5%AE%9E%E6%95%B0x%2C%E5%87%BD%E6%95%B0f%28x%29%E6%BB%A1%E8%B6%B3af%28x%29%2Bbf%28x%29%3Dcx%2C%E6%B1%82f%28x%29%E5%8E%9F%E9%A2%98%EF%BC%9A%E5%AF%B9%E4%BA%8E%E4%BB%BB%E6%84%8F%E5%AE%9E%E6%95%B0x%2C%E5%87%BD%E6%95%B0f%28x%29%E6%BB%A1%E8%B6%B3af%28x%29%2Bbf%281%2Fx%29%3Dcx%2C%28a%2Cb%2Cc%E2%89%A00%2Ca%E7%9A%84%E5%B9%B3%E6%96%B9%E4%B8%8D%E7%AD%89%E4%BA%8Eb%E7%9A%84%E5%B9%B3%E6%96%B9%29%2C%E5%88%99f%28x%29%3D________%5Bc%2A%28ax-b%2Fx%29%5D%2F%28a%5E2-b%5E2%29%E5%8F%82%E8%80%83%E4%B9%A6%E4%B8%8A%E8%A7%A3%E6%9E%90%E6%98%AF%E5%B0%86x%E6%8D%A2%E6%88%901%2Fx%E5%86%8D%E8%81%94%E7%AB%8B%E6%96%B9%E7%A8%8B)
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