Fontina, Cheddar and Gruyère Grilled Cheese with Roasted Vegetables

Carrots, large

Flesh potato, medium yellow

sprig Rosemary, fresh

sprig Thyme, fresh

Sea salt and pepper

Olive oil

slices Sturdy wheat bread, thick

Butter

Types of white, soft cheese (gruyère, raclette, swiss, gouda, provolone, fontina, white cheddar, etc.)