Preheat your oven to 375°F (190°C) and grease a baking dish.
In a large bowl, combine the cornmeal, flour, baking powder, salt, and black pepper.
In a separate bowl, whisk together the eggs, milk, and olive oil until well blended.
Gradually add the wet mixture to the dry ingredients, stirring until just combined.
Gently fold in the crumbled feta cheese.
Pour the mixture into the greased baking dish, spreading it evenly.
Bake in the preheated oven for about 25 minutes or until the top is golden and a toothpick inserted into the center comes out clean.
Allow the cornbread to cool slightly before slicing and serving.