Can I watch my directv business account at home?

Nope. Each DIRECTV account is only good for the service address you are at. This would be called mirroring or 'stacking' accounts, which is highly against your agreement with DIRECTV. Doing so could cause your service to be shut off (if someone found out) or further restrictions. You'll need to sign up for an account for JUST your home. This will be way less expensive than a DIRECTV for Business account. 

Wrong forum. This is the internet streaming forum not DirecTV. Different paid subscription.