Preheat the oven to 400°F.
Cut the feta into cubes to match the size of the carrot cubes. Spray the feta cubes with extra virgin olive oil and bake in a shallow sheet pan for 15 minutes or until golden brown. Remove and set aside.
On the same sheet pan, add the carrot cubes, one tablespoon of extra virgin olive oil, agave syrup, balsamic vinegar, and toss the carrots to coat them well. Sprinkle with sea salt.
Roast the carrots at 400°F for 15 minutes until cooked through and golden brown.
Add one tablespoon of water to the sheet pan to deglaze it. Scrape the pan with a flat spatula to collect the glaze.
Arrange the roasted carrots and baked feta on a plate. Drizzle with extra virgin olive oil and the glaze from the carrots. Enjoy!