'purposefully-authorized' originates from the combination of 'purposefully' and 'authorized'. 'Purposefully' comes from 'purpose', which originates from Old French 'purposer', meaning 'to intend'. 'Authorized' comes from 'authorize', which originates from Latin 'auctorizare', meaning 'to give authority'.

'Purposefully' evolved from Middle English 'purpos', while 'authorized' evolved from Middle English 'autorisen'.

Initially, 'purposefully' meant 'with a purpose', and 'authorized' meant 'given authority'. The combined term retains these meanings in modern usage.