You know that 芸術 is art so you'd think that 芸術家 would be something like "art house." Well, it's not. Think of it this way: Who is the person who works for "House Art"? It's the artist.
This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well.
I can't hide my wry smile at this artist's works.
The artist asked his disciple to look after his house while he was away and left for Europe to study.
How about running a marathon with a bunch of artists the month after next?