00:01
So in this problem, the first thing we want to do is we want to find the entire domain on this function that is one -to -one so that it's non -decreasing.
00:09
Well, we can have f -f x is equal to x -square minus 9.
00:12
Well, let's think about what this graph would look like.
00:14
It's at x squared, so that's our typical parabola, but it got shifted down 9.
00:19
So our graph would look something like this.
00:21
Well, we want the part of our graph for which is non -decreasing, which means it would start here at the vertex when x is 0 and then be anything greater.
00:30
Therefore, the domain in interval notation, remember we're talking from when x is zero up until it goes to infinity.
00:37
So in, here we go, here's domain.
00:40
So in terms of intonation, our domain, we would have to restrict it to zero up until infinity.
00:46
So that's the first part.
00:48
Now, the second part says to find the inverse of f restricted to that domain...