A polite, somewhat formal greeting inquiring about someone's well-being. Often followed by ですか to form a complete question.
How are you?
It's been a while. How have you been?
More common and slightly less formal than ご機嫌いかがですか. ご機嫌いかが is more polite and may be used in formal letters or speeches.
A greeting or farewell used among upper-class or in formal settings; ご機嫌いかが is specifically a question about well-being.
Standard mixed kanji-kana spelling; the most common written form.
Full kanji spelling using 如何 for いかが; less common and somewhat formal.
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.