Answer:D = {x|xβR|xβ₯3}R = {y|yβR|yβ₯6}Step-by-step explanation:y = β(x - 3) +6This graph type is a root graph because y = β of something. Root graphs have a vertex point that none of the "x" and "y" values pass.The vertex is (3, 6). Inside the root, - 3, represents the negative x value of the vertex. The x value is 3 because the inside of a root cannot equal to less than 0. If x was 3, β(x - 3) is β0. If x was 4, β(x - 3) is β(-1), an imaginary number.The number outside of the root is the y coordinate. + 6Since there is no negative outside the root, like -β(x - 3), the root continues to the upward, so "y" has to be greater than the y-coordinate in the vertex. The graph continues rightward because the root is not imaginary, so x has to be greater than the x-coordinate in the vertex. An imaginary root like β-(x - 3) continues leftward.Both "x" and "y" can also be any number, decimal or whole, so it's a real number, represented by R.D = {x|xβR|xβ₯3}R = {y|yβR|yβ₯6}