Final answer:
The SCBA designed to recycle the user's exhaled air, removing carbon dioxide and generating fresh oxygen is referred to as a closed-circuit breathing apparatus or rebreather system.
Step-by-step explanation:
The SCBA designed to recycle the user's exhaled air, removing carbon dioxide and generating fresh oxygen is referred to as a) Closed-circuit breathing apparatus, also known as a rebreather system. This type of SCBA allows for the reuse of exhaled air after removal of carbon dioxide and addition of oxygen, making it suitable for environments where fresh air supply is limited or unavailable. It consists of a closed breathing loop, where exhaled air is filtered, oxygen is added, and carbon dioxide is removed before the recycled air is inhaled again by the user.