We do know where plants were first domesticated but we do not know where animals were first domesticated. For the purposes of this question, the best answer is to say that plants and animals were first domesticated in the area known as the Fertile Crescent. The Fertile Crescent is an area of Southwest Asia. It includes parts of the modern countries of Iraq, Kuwait, Syria, Lebanon, Jordan, and Israel.
We cannot say that the first animals were domesticated in the Fertile Crescent because we do not know if this is true. Dogs were the first animals domesticated. It is not at all clear where they were domesticated. However, we can say that the first of what we would call farm animals were domesticated in the Fertile Crescent. These animals were sheep and goats.
We do know that plants were first domesticated in the Fertile Crescent. The plants that were first domesticated were wheat, peas, and olives. These were domesticated at least 10,000 years before the present.
Thus, the best answer to this question is the Fertile Crescent, made up of the countries listed above.