Take each piece of salmon and rub the blackened seasoning over the tops so they are evenly coated.
Heat a large skillet to medium and add in the butter and olive oil. Add in the salmon with the skin side up and sauté for about 3-4 minutes or until the tops have a nice sear, then carefully flip them over.
Once you've flipped them over, spoon some of the butter and olive oil mixture over the tops of the salmon. Cook for another 5-7 minutes or until the salmon is cooked through and serve.