Chop Cauliflower into florets (size of florets is not very important).
Peel Parsnips and Carrots and chop them into 1/2″ pieces.
Add cauliflower, parsnips, and carrots into a medium size pot and cover completely with water.
Boil until carrots and parsnips are soft (about 10 minutes)
Drain cauliflower, parsnip, and carrot mix
Puree in food processor (or you can use an immersion blender right in the pot if you have one…that was my method).
When the vegetable mix is mostly smooth in the food processor, slowly add oil, milk, salt, and butter and continue to process.
Add the grated cheese and mix to melt.
Serve and enjoy!