How do you find the domain and range of y = (3x+2)/(x-3)?

Domain: $x \ne 3$
Range: $y \ne 3$
the denominator cannot equal zero, as this is where the function is undefined. $x = 3$ will make the denominator zero, therefore this value is not part of the domain, in fact the line $x = 3$ becomes a vertical asymptote, meaning the graph on either side of this line never touches it. The Domain is the set of all real $x$ values that DEFINE the function. The range is the set of all real $y$ values that correspond with the domain. The line $y = 3$ is a horizontal asymptote. graph{(3x+2)/(x-3) [-25.66, 25.65, -13.37, 13.37]}