Norepinephrine and dopamine are examples of transmitters whose synaptic activity is terminated by'

The correct answer is reuptake.

The reabsorption of a neurotransmitter by a neurotransmitter transporter situated along the plasma membrane of an axon terminal or glial cell after it has done its activity of conducting a neural impulse is called reuptake.

The process of reuptake is essential for usual synaptic physiology as it permits for the recycling of neurotransmitters and monitors the neurotransmitter level in the synapse, thus, monitoring the duration of the signal resulting due to the discharge of the neurotransmitter.