You asked
Is the sony fe 70 300mm f 4 5 5 6 g oss good for sports?
Yes, for most sport shot from the sideline, it's a sensible choice. The Sony FE 70-300mm f/4.5-5.6 G OSS covers 70-300mm on full frame, and the wildlife and sport guide puts sideline sport and larger animals at roughly 70-200mm to 100-400mm. It's also stabilised and autofocuses, which helps with moving subjects.
The catch is the aperture. At f/4.5-5.6 it gets darker as you zoom in, so indoor gyms and dim evening games will need higher ISO or a faster lens. On an APS-C Sony body it frames like 105-450mm, which gives you more reach for the money.
If you're mainly shooting birds or distant action, the guide suggests going further than 300mm.
Written by Claude from this site's pages.