Is transplanted hair permanent?

Usually Permanent. Hair follicles located in the back of the scalp are typically immune to hereditary hair loss. When carefully harvested using NeoGraft FUE & transplanted into the thinning area, they will live & grow "forever." Only exceptions include severe disease or meds like chemo. Be aware that the NON-transplanted hair is still at risk, needing medical tx's in order to protect those follicles & the results.
Check VP Biden. His transplanted hair still seems to be in place. Seems to be permanent in most men who have had it done by a reputable plastic surgeon. Check with & ask a prospective transplanter for their success rate & ask for references from at least 3 of their patients. Don't know about sucess for women if you are asking for yourself.