Shrimp, Spinach, and Tomato Pasta

olive oil

unsalted butter (divided)

garlic (minced, divided)

shrimp (uncooked, medium size, shelled and deveined)

parmesan cheese (plus more for topping)

salt

tomato (medium, chopped into fourths)

baby spinach (cooked)

red pepper flakes (or more to taste)

fettuccine

lemon juice