Answer:
When we say that the Declaration of Independence established the purpose of the American government, we mean that it laid out the fundamental principles that would guide the formation and operation of the government. The Declaration identifies certain rights that are considered to be inherent and inalienable, including the rights to life, liberty, and the pursuit of happiness. It also asserts that governments are instituted to secure these rights and that the people have the right to alter or abolish government that fails to do so.
The Founding Fathers believed that these rights were inalienable because they are inherent to all human beings and cannot be legitimately taken away by any government or individual. They believed that these rights were endowed by a higher power or by nature itself, and that they were not granted by the government. Therefore, the government's role was to protect and secure these rights, rather than grant or take them away.
Regarding King George, the Founding Fathers believed that he was being tyrannical, and this is reflected in the list of grievances included in the Declaration of Independence. The King was accused of violating the rights of the colonists, imposing taxes without their consent, and denying them the right to trial by jury. The colonists believed that they were being treated unfairly and that their rights were being trampled upon. The Declaration of Independence was a statement of their resolve to establish a government that would protect their rights and secure their liberty.
It is fair to say that the colonists felt that they were being oppressed by King George, but as with any historical event, there are different perspectives and interpretations. Some historians argue that the colonists' grievances were exaggerated and that the American Revolution was not solely about the violation of rights, but also about economic and political interests. Nonetheless, it is clear that the Founding Fathers believed that the rights of the colonists were being violated and that they saw the establishment of a new government as necessary to protect those rights.