已知f(x)=(1/2)的x次方 g(x)=log以2为底的2/x,那么满足不等式f[g(x)]+g[f(x)]>2的范围是?

问题描述:

已知f(x)=(1/2)的x次方 g(x)=log以2为底的2/x,那么满足不等式f[g(x)]+g[f(x)]>2的范围是?

g(x)=1-log2为底的x
f[g(x)]=x/2
g[f(x)]=1+x
f[g(x)]+g[f(x)]>2
即1+3x/2>2
x>2/3