"How is he?"
I understand that the course is new and we need to report problems, but this is really annoying to not know the language, try trust the hints, and be completely wrong.
"Habari yake?" would ask about "his news?" and is equally acceptable, yes.
Swahaili is also a highly adapted language with many dialiects. Even among accepted dialects, some words have multiple meanings. This is why they are repeating different vocabulary options.
Shouldn't it be 'Habari yake'? Hajambo means Hi or how are you, not how is he! But 'habari ya yeye' would definitly not be right.
"Habari yake?" is perfectly right; "Hajambo?" as a greeting does have the function of "How is he?" in English though. "HUjambo?" is "How are you?"
I don't quite understand this... what do these prefixes come from? Hajambo, Hamjambo, Hatujambo... looking at the tips and notes still doesn't really help me. I think it might have something to do with the person you're asking about (how is he versus how are you, that sort of thing), but I'm not sure. Can somebody help out?