Bring a saucepan of water to the boil and cook the carrot and swede for 20-25 minutes until they are both tender. Drain well and tip into a bowl or jug.
Use a hand blender (or food processor) to blitz the carrot and swede to a very smooth purée.
Back in the saucepan, add the vegan butter and peeled and crushed garlic clove. Cook gently for 1-2 minutes until the butter is melted and the garlic has softened, (but don't let it brown or it will turn bitter).
Stir the puréed carrot and swede through the garlic butter, add the vegan cream, salt and black pepper and cook gently, stirring constantly. Keep cooking until the mash has thickened to the right consistency. Taste and adjust seasoning as required.