The g of x, the g of x, let me draw it, g of x looked something, something like this. And it had a gap at negative one. So it had a gap right over there. While f of x, f of x would have the same graph, except it wouldn't have, it wouldn't have the gap. And so if you're trying to find the limit, it seems completely reasonable. Well, let's just use f of x and evaluate what f of x would be to kind of fill that gap at x equals negative one. So hopefully this graphical version helps a little bit, or if it confuses you, ignore it.