The correct answer is true.
It is true that the executive power in the state of Texas is shared by the governor, the lieutenant governor, the attorney general, and other state-level officials.
All the information about the executive power of the state of Texas can be found in the Constitution of the state of Texas, in Section I, Title II, Executive Power of the State. In Article 113, you can read about the prerogatives of the Texas governor, his many attributes, and restrictions to his powers.
