How do you determine race if your father is Mexican and from Mexico mother white the US but child was born in US?

The concept of race is a social construct and its definition varies across cultures and time periods. In the United States, race is typically defined by self-identification, meaning that an individual can identify with any race or races they feel most connected to.

In your case, if you were born in the United States, you would be considered an American citizen. As for your race, you would have the option to self-identify as Hispanic/Latino, White, or any other racial category that you feel best describes your background and heritage.

It's important to remember that racial categories are not fixed or immutable, and they can change over time. The way that race is defined and perceived can vary from person to person and from society to society.

In addition, it's worth noting that race is not the only factor that shapes a person's identity. There are many other aspects of an individual's background, such as ethnicity, nationality, culture, and personal experiences, that also contribute to their sense of self.