Find the Domain?

Question

Find the domain of f:

f(x)=ln(6-6x^2)

Answer 1

Natural log functions don't exist when x is less than or equal to 0.

So let 6 - 6x^2 > 0

reduce and 1 - x^2 > 0
x^2 < 1, crit numbs = 1, -1
domain = -1

Answer 2

The domain should make the function defined, right?
That is to say: 6-6x^2 >0
x^2<1
-1 < x < 1 is the domain