Domestication is a process involving the active interference by people in the life cycles of plant and animal species such that subsequent generations of these organisms are in more intimate association with people, of more use to people, and depend on people to provide the conditions for their reproduction.
Domestication is a process.
Agriculture is not a process but a particular kind of subsistence system that is dependent upon domesticated plants, typically with one or a few staple crops that are high calorie carbohydrates. B.C. animal domestication involves selective corraling so as to direct matings as well as castration to prevent certain matings and selective slaughter so as to obtain food while not diminishing herd size.