Trainer and I have differing opinions on nutrition The trainer I started seeing recently asked me to track my food for a week using MFP. 
He was shocked to see the very low carb intake despite the fact that in the last week I've lost 1 lb and some change and gained muscle mass. 
He claims I need to be eating 45% carbs (albeit complex carbs) and says he has studies to prove it. 

Firstly, does working out make my low carb intake dangerous?
If not, how can I convince him that I'm not killing myself short of getting full blood work done?