We cannot take the log of a negative number or 0
Notice that any value in (-∞, -1) is OK
Notice that values in [-1, 1] either give us something that is negative or undefined
And note that any value in (1, ∞) is OK
So, the domain is just (-∞, -1) U (1, ∞)
Here's a graph that will help you see this...
We cannot take the log of a negative number or 0
Notice that any value in (-∞, -1) is OK
Notice that values in [-1, 1] either give us something that is negative or undefined
And note that any value in (1, ∞) is OK
So, the domain is just (-∞, -1) U (1, ∞)
Here's a graph that will help you see this...