Final answer:
A governor welcoming an important visitor is acting as the state's spokesperson, representing the state and promoting its interests.
Step-by-step explanation:
When a governor welcomes an important visitor to the state, he or she is performing the role of being the spokesperson for their state. This is a ceremonial duty where the governor represents the state and shows hospitality to dignitaries, which is a part of their broader responsibilities to sell the state's virtues, encourage tourism, and promote economic investment. This aspect of a governor's duties underscores their function as a leader who not only manages the enactment and oversight of public policy but also the embodiment of the state's image and interests.