'government-determined' is a compound of the noun 'government' and the past-participial adjective 'determined'. 'Government' ultimately comes (via Old French) from Latin 'gubernare' meaning 'to steer, govern'; 'determine' comes from Latin 'determinare' meaning 'to set limits, decide'.

'government' came into Middle English via Old French 'governer' (from Latin 'gubernare'); 'determinare' entered English through Old French 'determiner' and Middle English 'determine'. The compound 'government-determined' is a modern English formation combining these elements to describe things decided by government authority.

Individually, the components meant 'the act or office of governing' and 'to set limits or decide'; combined in modern usage they specifically mean 'set or decided by the government'.