Then y'=x- 1/x, let y'=0, then x= 1.

When 0

If proposition p is true, then a

If the proposition Q is true, then 4a2-4 (-8-6a) > = 0, a 2+6a+8 > =0,

So a < =-4 or a & gt=-2.

To sum up, the range of a is (-infinity, -4) and [-2, 1/2].