Using 'enquire after' shows concern and kindness about someone's condition. When you last visited, my aunt kept enquiring after your family.
Pro Tip 2/3
Social Etiquette
'Enquire after' is often used in social situations to show politeness and good manners. At the gathering, he took a moment to enquire after my elderly parents.
Pro Tip 3/3
Not Face-to-Face
The phrase is commonly used when asking about someone who isn't present. During the phone call, she enquired after my brother, who's studying abroad.