设函数f(x)=a*2^x-1/2^x+1是在R上的奇函数已知函数f(x)=(a·2^x-1)/(2^x+1)是定义在R上的奇函数1)求a2)求f(x)及他的反函数3)设b∈R+,且f-1(x)>log2 (1+x)/b,求x的取值范围
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![设函数f(x)=a*2^x-1/2^x+1是在R上的奇函数已知函数f(x)=(a·2^x-1)/(2^x+1)是定义在R上的奇函数1)求a2)求f(x)及他的反函数3)设b∈R+,且f-1(x)>log2 (1+x)/b,求x的取值范围](/uploads/image/z/14796059-59-9.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0f%28x%29%3Da%2A2%5Ex-1%2F2%5Ex%2B1%E6%98%AF%E5%9C%A8R%E4%B8%8A%E7%9A%84%E5%A5%87%E5%87%BD%E6%95%B0%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3D%EF%BC%88a%C2%B72%5Ex-1%EF%BC%89%2F%EF%BC%882%5Ex%2B1%EF%BC%89%E6%98%AF%E5%AE%9A%E4%B9%89%E5%9C%A8R%E4%B8%8A%E7%9A%84%E5%A5%87%E5%87%BD%E6%95%B01%EF%BC%89%E6%B1%82a2%EF%BC%89%E6%B1%82f%28x%29%E5%8F%8A%E4%BB%96%E7%9A%84%E5%8F%8D%E5%87%BD%E6%95%B03%EF%BC%89%E8%AE%BEb%E2%88%88R%2B%2C%E4%B8%94f-1%EF%BC%88x%EF%BC%89%EF%BC%9Elog2+%EF%BC%881%2Bx%EF%BC%89%2Fb%2C%E6%B1%82x%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4)
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