Season the beaten eggs well with salt and pepper. 

Heat the oil and butter in a non-stick frying pan over a medium-low. 

Pour the eggs into the pan, tilt the pan ever so slightly from one side to another to allow the eggs to swirl and cover the surface of the pan completely. 

Let the mixture cook for scrape a line through the middle with a spatula until you see its done. 

You can fill the omelette with whatever you like to serve.