00:01
What is the domain of this function? to find out, we need to look for restrictions, as the book suggests.
00:06
Restrictions are something that would make this function not exist, such as the square root of a negative or divided by zero.
00:11
Well, for square roots, there's no square roots here.
00:14
There's a square, but any number can be squared, and it will turn out fine with no repercussions.
00:19
So we're fine on that front.
00:21
That is, there's no problems with square roots here.
00:24
But for division, while we do have a problem there, because we have x squared minus 1 on the bottom, and if x squared minus 1 equals 0, then we'll divide by 0 and this function won't exist.
00:34
So, what would make x squared minus 1 equals 0? let's find out.
00:39
Let's set x squared minus 1 equal to 0 and solve for x...