(1)f(x)=log2^(x+1)+alog2^(1-x)是奇函数,f(-x)=- f(x)
log2^(1+(-x))+alog2^(1-(-x))=-[log2^(x+1)+alog2^(1-x)]
a[log2^(1+x)+log2^(1-x)]=-[log2^(x+1)+alog2^(1-x)]
a=-1
原函数f(x)=log2^(x+1)/(1-x)
(2)由复合函数性质得:求f(x)=log2^(x+1)/(1-x)单调 转化为求y=( x+1)/(1-x)单调 很明显为单调递增,故原函数单调递增
(3)先求出反函数,然后与m建立不等式,即2的X次幂>(1+m)/(m-1)
对m