General Brasher was enlisted in the United States Air Force from 28 June 1949 to 1 December 1950. He attended Officer Candidate School 2 December 1950 and was commissioned a second lieutenant on 22 June 1951. He completed pilot training, and was awarded the aeronautical rating of a pilot on 25 October 1952. He served on active duty with the United States Air Force as a fighter pilot from 26 October 1952 to 24 October 1955. He was released from active duty and was in the Air Force Reserve from 25 October 1955 to 14 August 1956. He was commissioned in the Arizona Air National Guard on 15 August 1956 and held duty assignments as Fighter Pilot, Assistant Flight Commander, Transport Pilot, Squadron Commander, Flying Safety Officer, Director of Operations, and Commander, Air National Guard, Arizona. He was the ANG Assistant to CINCSAC, Offutt AFB, Nebraska. General Brasher was a Command Pilot on flying status with over 23,000 flying hours in 41 different types of aircraft, both military and civilian.
General Brasher attended the following schools: Carson Newman College, Jefferson City, Tennessee, 1949; Officers Candidate School, 1951; Pilot Training, 1952; Fighter Bomber Course, 1953; Far East Air-Ground Operations Course, 1953; Senior Officers Air Power Seminar, 1975; Defense Strategy Seminar, 1975; Air War College Associates Program, 1975; National Security Management Course, 1976; Tactical Fighter Doctrine and Tactics Course, 1975; Reserve Forces Course, 1.976; Armed Forces Staff College, 1975; Senior Officers Orientation Course, 1979; Tactical Fighter Weapons School, 1978.
Decorations and Awards: Air Medal; Air Force Outstanding Unit Award (2); Combat Readiness Medal; National Defense Service Medal; Korean Service Medal (2); Armed Forces Expeditionary Medal; Vietnam Service Medal; Air Force Longevity Service Award Ribbon (6); Armed Forces Reserve Medal; Small Arms Expert Marksmanship Ribbon; Korea Presidential Unit Citation; United Nations Service Medal; Arizona Ten Year Service Medal with Three Year Devices; Arizona 20 Year Long Service Medal with two Three-Year Devices; Arizona Distinguished Service Medal; Meritorious Service Medal (MSM).
Civic Affiliations: National Guard Associations of the United States and Arizona; Air Force Association; Quiet Birdmen; Masonic Lodge; Airline Pilot's Association; The Order of Kentucky Colonels.
Civilian Occupation: DC-9, Check Captain with Hughes Airwest Airlines, Las Vegas, Nevada.