Final answer:
Bellerophon travels to Argos in mythology as part of an exile or to be purified for a crime, depending on the myth version. His travels are part of Greek epics, similar to other legendary figures like Perseus and the Argonauts.
Step-by-step explanation:
The inquiry about why Bellerophon goes to Argos is rooted in classical mythology, rather than being tied to a factual historical event. In mythology, the character Bellerophon was sent to King Proetus of Argos in exile. The reason for his journey to Argos varies depending on the version of the myth; in some versions, he seeks purification for a crime, or is sent to Proetus to bear a message that would indirectly lead to his death, a form of covert execution attempt by King Proetus's son-in-law whom Bellerophon had offended.
Mythological stories like the one of Bellerophon often served to impart moral lessons, cultural values, and entertained audiences while accounting for various phenomena in the ancient world. However, it must be noted that there isn't a single prevailing reason narrated throughout all versions of the myth for Bellerophon's journey to Argos. Thus, the story forms part of the broader tapestry of Greek myths and epics that included mentions of various other quests like that of Perseus and the Argonauts.