Melt butter in a pot, add onion, and sauté until soft.

Stir in flour and cook for 1 minute.

Gradually add chicken broth and half and half, stirring until smooth.

Add frozen broccoli and carrot, simmer 25 min until tender.

Reduce heat, add cheese, salt, and pepper. Stir until cheese melts.

Serve warm (with baguette)