This is the 285th most frequent Slovak word.
domácej
"Domácej" means "homemade" or "domestic" (feminine singular genitive or dative form).
The word 'domácej' is used here as an adjective in genitive singular feminine form to describe 'homemade' referring to 'polievky' (soup).
V chladničke je zvyšok domácej polievky.
In the refrigerator is the remaining homemade soup.
Here, 'domácej' functions as a noun in genitive singular feminine form meaning 'landlady'.
Mám darček od našej domácej.
I have a gift from our landlady.
In this sentence, 'domácej' is an adjective in genitive singular feminine form describing 'skupiny' (group) as 'from home'.