已知函数f(x)=[log以4为底(4的x次方+1的对数)]+kx(k属于R)是偶函数,求K的值,f(x)是偶函数,则f(x)=f(-x)log4(4的x次方+1)+kx=log4(4的-x次方+1)-kxlog4(4的x次方+1)-log4(4的-x次方+1)=-2kxlog4(4的x次方
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![已知函数f(x)=[log以4为底(4的x次方+1的对数)]+kx(k属于R)是偶函数,求K的值,f(x)是偶函数,则f(x)=f(-x)log4(4的x次方+1)+kx=log4(4的-x次方+1)-kxlog4(4的x次方+1)-log4(4的-x次方+1)=-2kxlog4(4的x次方](/uploads/image/z/7836837-69-7.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3D%EF%BC%BBlog%E4%BB%A54%E4%B8%BA%E5%BA%95%EF%BC%884%E7%9A%84x%E6%AC%A1%E6%96%B9%2B1%E7%9A%84%E5%AF%B9%E6%95%B0%EF%BC%89%EF%BC%BD%2Bkx%28k%E5%B1%9E%E4%BA%8ER%29%E6%98%AF%E5%81%B6%E5%87%BD%E6%95%B0%2C%E6%B1%82K%E7%9A%84%E5%80%BC%2Cf%EF%BC%88x%EF%BC%89%E6%98%AF%E5%81%B6%E5%87%BD%E6%95%B0%2C%E5%88%99f%EF%BC%88x%EF%BC%89%3Df%EF%BC%88-x%EF%BC%89log4%284%E7%9A%84x%E6%AC%A1%E6%96%B9%2B1%29%2Bkx%3Dlog4%284%E7%9A%84-x%E6%AC%A1%E6%96%B9%2B1%29-kxlog4%284%E7%9A%84x%E6%AC%A1%E6%96%B9%2B1%29-log4%284%E7%9A%84-x%E6%AC%A1%E6%96%B9%2B1%29%3D-2kxlog4%284%E7%9A%84x%E6%AC%A1%E6%96%B9)
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