Boil water in a large pot
Add salt to the water
Cook fettuccine until al dente
Reserve some pasta water
Melt butter in a large skillet over medium heat
Add minced garlic and cook briefly
Pour in heavy cream
Simmer gently
Stir in grated Parmesan cheese
Season with salt and black pepper
Add cooked pasta to the sauce
Toss to coat evenly
Add reserved pasta water if needed
Serve immediately