F(x)=loga|x| is a decreasing function on (-∞, 0), that is, (x)=logax is increasing, so a is greater than 1.

The compound function of the tick function and exponential function in g(x) =a*x+ 1/(a*x).

That is, t = x times of a and g (t) = t+1/t.

Because a is greater than 1, t increases.

And G(T) is odd function, the decreasing interval in the first quadrant is (0, 1], and the increasing interval is greater than 1.

So G(-3)=G(3)

And G(2) is less than F(3) is less than G(4)

That is, g (2) < g (-3) < g (4)