XDF P42 Section1 Q5

5. Federel legislation establishing a fund for the cleanup of sites dameged by toxic chemicals permits compensating state governments for damage to their natural resources but does not allow claims for injury to people.

这题的答案就是A，可是我看不懂这个for damage to的结构和意思，是固定搭配么？

谢谢了。

compensating state governments for damage to
    

固定搭配

compensate for

damage to... (damage 是名词)