which of these answers answer the question, To investigate the role of the Roman Catholic Church in the empire building of the Spanish and Portuguese empires shows that

Responses

the Church played an important role in both empires’ growth.
the Church played an important role in both empires’ growth.

the Church struggled to get access to new colonies.
the Church struggled to get access to new colonies.

Roman Catholic missionaries fought against other colonizers.
Roman Catholic missionaries fought against other colonizers.

the Church discouraged these countries from building empires.

the Church played an important role in both empires’ growth.

The answer that accurately addresses the question "To investigate the role of the Roman Catholic Church in the empire building of the Spanish and Portuguese empires" is:

- the Church played an important role in both empires’ growth.

The answer that directly answers the question, "To investigate the role of the Roman Catholic Church in the empire building of the Spanish and Portuguese empires," is:

- "the Church played an important role in both empires’ growth."

This response clearly states that the Roman Catholic Church had a significant role in the growth of both the Spanish and Portuguese empires.

The other responses do not directly address the role of the Church in empire building.