expression
A polite, somewhat formal greeting inquiring about someone's well-being. Often followed by ですか to form a complete question.
ご機嫌いかがですか。
How are you?
お久しぶりです。ご機嫌いかがでしょうか。
It's been a while. How have you been?
Composed of the honorific prefix ご, the noun 機嫌 (mood, health), and the interrogative いかが (how). The phrase literally asks 'how is your mood/health?' and is a set polite expression.