Preheat your oven to 400°F and line a large rimmed baking sheet with parchment paper for easy cleanup.
Peel the sweet potato and cut into 1-inch cubes, then peel the carrots and slice them into half-inch thick rounds.
In a large mixing bowl, toss the sweet potato cubes and carrot rounds with half of the olive oil, half of the sea salt, and half of the black pepper.
Pat the turkey breast filet dry with a paper towel and rub the remaining olive oil over all sides.
In a small ramekin, combine the rosemary, thyme, garlic powder, and the remaining salt and pepper, then rub this herb mixture evenly onto the turkey.
Arrange the seasoned turkey and the prepared root vegetables in a single layer on the baking sheet.
Roast for 25 to 30 minutes, or until the turkey reaches an internal temperature of 165°F and the vegetables are tender and golden brown.
Remove from the oven and let the turkey rest for 5 minutes before slicing to ensure the meat remains juicy and tender.