On Chrome, click "Allow" at the prompt:
If you don't see the above prompt, then select the camera icon in the address bar, and select "Always allow..." option:
If you still don't get a prompt and don't see the camera icon in the address bar, then you probably don't have a webcam, or it's not working. Get webcam and then make sure it's working properly.
On Firefox, select 'Share Selected Devices' or 'Allow' in the prompt (check 'Remember this decision' if you don't want it to ask every time):
If you've allowed access but Doxy.me still can't get your webcam or mic, then try to: