We know that X -, 13 quantity square is really a parabola that's been shifted to the right 13 spaces. Now if we look at this, this is not one to one, but they put a restriction where X had to be less than or equal to 13. So we only want this portion of the graph and if we look at that portion of the graph, we see that that is 1 to one. So the domain here would be from negative Infinity to 13 including thirteen, and the range here is going to be 0 to Infinity. Now it would like us to find the inverse function. So to find the inverse, we're going to switch the X and the Y and solve for Y. So X is now y -, 13 ^2. When I square, When I get rid of a square, I have to square root and we have to remember it's positive or negative, and we're going to decide which one in just a moment. When I add that 13, I need 13 ± sqrt X so F inverse of XI need the range here to be the same as the domain of the original. So I need negative values all the way up to 13. So if I have 13, I can't add to it if I need to be within the same thing as the original domain. So we know that we have to have 13 -, sqrt X because then the domain here, obviously going inside a square root, has to be a positive number, so zero to Infinity, emphasizing the domain of the inverse is the same as the range of the original and the range of the inverse, which would be 13 minus some number. So negative Infinity all the way up to 13 has to be the same as the domain of the original.