The Department, through appropriate divisions, subdivisions and offices, shall have the power to perform and shall be responsible for the performance of all the powers, duties and functions vested by law in the State Board of Health, the Board of Trustees of the Delaware Hospital for the Chronically Ill, the Hospital Advisory Council, the Department of Mental Health, the Board of Trustees of the Department of Mental Health, the Department of Public Welfare, the Board of Welfare, the Commission for the Blind, and the Commission for the Aging immediately prior to June 12, 1970, and which are not otherwise specifically transferred to the Department by this chapter.