'authorizable' originates from Modern English, specifically the verb 'authorize', which itself comes from Old French 'autoriser' and ultimately from Latin 'auctor', where 'auctor' meant 'originator' or 'promoter'.

'authorizable' developed from Middle English/Modern English forms: Latin 'auctor' -> Old French 'autoriser' -> Middle English 'authorisen'/'authorizen' -> Modern English 'authorize' -> adjective-forming suffix '-able' produced 'authorizable'.

Initially related to 'auctor' meaning 'originator' or 'one who increases authority'; over time the sense narrowed to 'to give official permission or authority', and 'authorizable' came to mean 'capable of being given such permission'.