Directions to cook the steak and finish assembling the salad:
Preheat the oven to 400°. Heat a large cast iron skillet or a heavy-bottomed frying pan over medium-high heat for about 2 minutes, until the pan is radiating heat when you hold your hand 1” above it. Generously salt and pepper the filet mignon and rub each side with olive oil. Place the filets into the pan and leave them completely undisturbed for 3 minutes. Using tongs, flips the steaks over and move them slightly so they cook on a part of the pan that didn’t have a steak on it previously. Allow the steaks to cook for another 2 minutes and 30 seconds. Then immediately place the pan into the oven to finish cooking. Cook in the oven for 4 minutes. Remove the pan from the oven, place the steaks on a cutting board and top each steak with 1 TBSP of compound butter. Let the steaks rest for 3-4 minutes. Slice diagonally into 1/3” thick slices. Lay the steak strips atop the salad and serve immediately.