已知函数f(x)=lnx-(1/4)x+3/(4x)-1,求函数的单调区间设g(x)=-x2+2bx-4,若对任意x1属于(0,2),x2属于[1,2],不等式f(x1)>=g(x2)恒成立,求实数b的取值范围.
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![已知函数f(x)=lnx-(1/4)x+3/(4x)-1,求函数的单调区间设g(x)=-x2+2bx-4,若对任意x1属于(0,2),x2属于[1,2],不等式f(x1)>=g(x2)恒成立,求实数b的取值范围.](/uploads/image/z/3833359-7-9.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3Dlnx-%281%2F4%29x%2B3%2F%284x%29-1%2C%E6%B1%82%E5%87%BD%E6%95%B0%E7%9A%84%E5%8D%95%E8%B0%83%E5%8C%BA%E9%97%B4%E8%AE%BEg%28x%29%3D-x2%2B2bx-4%2C%E8%8B%A5%E5%AF%B9%E4%BB%BB%E6%84%8Fx1%E5%B1%9E%E4%BA%8E%EF%BC%880%2C2%29%2Cx2%E5%B1%9E%E4%BA%8E%EF%BC%BB1%2C2%EF%BC%BD%2C%E4%B8%8D%E7%AD%89%E5%BC%8Ff%28x1%29%EF%BC%9E%3Dg%28x2%29%E6%81%92%E6%88%90%E7%AB%8B%2C%E6%B1%82%E5%AE%9E%E6%95%B0b%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4.)
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