The book was purchased used, and that particular answer page in the back of book is torn out. After looking in my physiology textbook is says the friggin answer is secondary active transport which is even more confusing. A quote from the physio text:
"These secondary active transport systems use the normal ionic gradients of Na+, K+, H+, or Cl- to achieve concentrative uptake of transmitter".
Also I went on wikipedia (which can be inaccurate/unreliable) and here is it's quote:
"The neurotransmitter in question will bind to sodium ions, where the sodium ion will flow down its concentration gradient as well as electrical gradient. These forces will pull the neurotransmitter into the cell, against its own gradients"
So for the 4 answers given originally it's going to be facilitated diffusion because that answer is the least wrong. The answer is definitely not Primary Active Transport. However if secondary active transport was an answer option I would pick that instead of facilitated diffusion b/c both "Medical Physiology" and "Wikiped" contain that in their explanations.