divulge means make known and diverge means separate from another route

Western culture has so influenced Middle Eastern and ''at one time inseparable'' by this we can understand there is a contrast between sentence so now the two are becoming separate, here diverge means separate. so answer is D.

Western culture has so influenced Middle Eastern music that even the latter’s roles of composer and performer, at one time inseparable, have now begun to ____________ .

We need a word that indicates something has started to become different. "Diverge" is the best among the options.

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