In a large non-stick skillet over high heat, bring the rutabaga, parsnips, carrots, broth and butter to a boil. Cover and continue cooking for 20 minutes or until tender. Remove the lid and reduce until dry and the vegetables begin to brown. Season with salt and pepper. Transfer to a serving platter and keep warm.
Meanwhile, in another skillet over high heat, brown the bell peppers in the oil. Add the chorizo and cook for 2 minutes. Add the arugula and cook for 1 minute or until wilted. Spoon the chorizo mixture over the vegetables.