There is a large amount of wear and tear that comes with a home gym. The heavy foot traffic and the weight of the machines are two of the most notable. 

• The beauty of rubber flooring is that it provides an even cushioned surface (no tripping hazards) that is able to withstand dropped weights without the fear of damage, as well as hold heavy machinery in place without it slipping or sliding around. 
• When it comes to spills, sweat, and other dirt, not only is rubber flooring easy to clean, but it is also less likely to grow bacteria as it can be sanitized more frequently. 
• Something else you may not consider is shock absorption–your joints need more cushioned flooring (read about gym flooring thickness here). Bare cement is too hard and carpeting can be unstable. Rubber is just right.
• Rubber flooring can also provide sound absorption so you can work out without the fear of disturbing others in your household.