已知y=f(x)的图像与y=a^x(a大于0且a不等于0)的图像关于直线y=x对称,记g(x)=f(x)[f(x)+f(2)-1].若g(x)在区间【0.5,2】上是增函数,求实数a的取值范围
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![已知y=f(x)的图像与y=a^x(a大于0且a不等于0)的图像关于直线y=x对称,记g(x)=f(x)[f(x)+f(2)-1].若g(x)在区间【0.5,2】上是增函数,求实数a的取值范围](/uploads/image/z/1064388-12-8.jpg?t=%E5%B7%B2%E7%9F%A5y%3Df%28x%29%E7%9A%84%E5%9B%BE%E5%83%8F%E4%B8%8Ey%3Da%5Ex%28a%E5%A4%A7%E4%BA%8E0%E4%B8%94a%E4%B8%8D%E7%AD%89%E4%BA%8E0%EF%BC%89%E7%9A%84%E5%9B%BE%E5%83%8F%E5%85%B3%E4%BA%8E%E7%9B%B4%E7%BA%BFy%3Dx%E5%AF%B9%E7%A7%B0%2C%E8%AE%B0g%28x%29%3Df%28x%29%5Bf%28x%29%2Bf%282%29-1%5D.%E8%8B%A5g%28x%29%E5%9C%A8%E5%8C%BA%E9%97%B4%E3%80%900.5%2C2%E3%80%91%E4%B8%8A%E6%98%AF%E5%A2%9E%E5%87%BD%E6%95%B0%2C%E6%B1%82%E5%AE%9E%E6%95%B0a%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4)
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