Is it safe to stay home alone after general anesthesia?

Im going to have a chin implant and i also want some adjustments to my nose. I am really uncomfortable telling anybody about my surgeries, so Im going to take a taxi home and be alone after the surgeries. If I only get a light type of general anesthesia, would that be fine? I just had general anesthesia for 20 min and I wasnt feeling bad or dissy at all when i woke up. Does it have anything to say how long you are sedated on the amount of sickness and nousea you feel afterwards?