Short discussion – human anatomy

We also studied the concept of dual innervation of most of the vital organs of the body, which leads to the following conundrum. If most of the vital organs are innervated by both the Sympathetic and Parasympathetic Divisions, and each of the divisions leads to antagonist responses, how does the vital organs (effector organs) know what response to carry out if they dually innervated from both divisions of the autonomic division. Meaning how does the vital organ know which part of the autonomic division is communicating to it if they are innervated by both parts?