Brashear's first major gig was in the trumpet section of the 1970's Basie orchestra. He was a member of Bobby Hutcherson's group in that decade, and can be heard on some of Bobby's Prestige LPs of the time, maybe also on the Bayété LPs. There are a few Black Jazz sessions he solos on with his trademark fiery tone, e.g. Henry Franklin's "The Skipper" and "The Skipper At Home", where he plays good solos. After that he did mostly section work in Hollywood studios, with an occasional fiery solo; one is on Joe Henderson's funky "Black Miracle" album on Milestone/OJC.
Brashear is also on the Blue Note album by Bobby Hutcherson 'Inner Glow' that was originally released in Japan. Brashear is heard on that one along Thurman Green on trombone, Harold Land, pianist Dwight Dickerson, Kent Brinkley on bass and Larry Hancock on drums.