3. Given that the function $f(x)$ is a decreasing function on $\mathbf{R}$, and points $A(-1,3)$ and $B(1,1)$ lie on its graph, $f^{-1}(x)$ is its inverse function, then the solution set of the inequality $\left|2008 f^{-1}\left(\log _{2} x\right)\right|<2008$ is
A. $(-1,1)$
B. $(1,3)$
C. $(2,8)$
D. $\left(0, \log _{2} 3\right)$
3. C $\left|2008 f^{-1}\left(\log _{2} x\right)\right|<2008$, so $-1<f^{-1}\left(\log _{2} x\right)<1$, so $1<\log _{2} x<3$, hence $2<x<8$. Choose C.