A rhinoplasty can be performed two ways, A Closed approach or the Open approach. The choice of which approach to use depends on the findings during an examination. A "Closed" approach is a technique of rhinoplasty in which no external incisions are made to the nose. All incisions are made within the nose. re will be no external scars.
If an individual needs major revision of the tip of the nose, more complex manuevers to the dorsum of the nose, or has major breathing difficulties, the "Open" approach is a better option. In an "Open" approach refers to a technique in which a small incision is made across the the small bridge of tissue between the nostrils leading up to the tip of the nose. The incision is designed so that when it heals, it is won't leave any scars.
What technique will be used depend on what is found on a careful examination by your doctor.
For the recovery part, the full recovery takes almost 6 weeks and for the cost I guess you got to call the doctor and work things out.