The primary function of the Texas Rangers for the Republic of Texas was to - built irrigation systems for Texas farmers

establish a prison system for the Texas justice system

protect Texans from American Indian tribes

return fugitive enslaved people to Texas farms

C. protect Texans from American Indian tribes.

Explanation:

The Texas Rangers formed on the 17th of October, 1835 were saddled with the responsibility of providing protection for the indigenes of the Republic of Texas (Texans) from the American Indian tribes.

During the Texas Revolution of 1836, the Texas Rangers were authorized by the government to do a surveillance of the isolated Texas frontiers in order to provide settlers adequate protection and security from any form of harm from the American Indian tribes.

Hence, the primary function of the Texas Rangers for the Republic of Texas was to protect Texans from American Indian tribes.

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