Final answer:
To check if functional dependencies apply in a decomposed relation, you can analyze the attributes and dependencies, perform normalization, and check closure property.
Step-by-step explanation:
Checking if functional dependencies apply in a decomposed relation can be done by analyzing the attributes and dependencies in the relation, performing normalization on the relation, and checking if the relation satisfies the closure property.
1) By analyzing the attributes and dependencies in the relation, you can identify the functional dependencies that exist.
2) By performing normalization on the relation, you can ensure that it is in a state where functional dependencies are preserved.
3) By checking if the relation satisfies the closure property, you can verify if all the functional dependencies have been preserved in the decomposed relation.