OK, to define G of seven, we're going to factor this and realize A2 comes out and we get X ^2 -, 49. Two comes out of the bottom and we get X -, 7. The top continues to factor because its difference of squares X + 7 X -7 two over X -, 7. So this is really all going to reduce down to X + 7. But X couldn't equal 7. There was a hole in the graph because if I put 7 into the original, we'd get a zero in the denominator. So if we want to do a continuous extension, we'd use a capital letter G of X, and we'd say that that's going to equal G of X for every value where X doesn't equal 7. Well, if X = 7, we need to figure out the value to plug in that hole, and we're going to put it right in here. So 7 + 7 would give us a 1414 is defined, but if I stuck the seven into the original, it's not defined. So this is an equivalent that would fill our hole.