This song was commissioned for the 1984 hit movie Beverly Hills Cop. Most of you probably knew that. I mean, it's Harold Faltermeyer's best known song.
"Alex F" was named for the character Axel Foley, portrayed by Eddie Murphy in the movie. What you may not know is that it was composed in the key of F minor, continuing the F theme. Faltermeyer wrote the song, and performs all the instruments, which are all electronic. He also appears in the video, strangly wearing an overcoat, sunglasses and a hat while pounding away on what was probably state-of-the-art computer equipment in 1984.
Before you all go running off to the Wikipedia page for this song and tell me that I'm wrong and that the song was written by Hans Faltermeier, you should know that his full name is Hans Hugo Harold Faltermeier.... and he anglicized his name for single release (mostly because Americans are more likely to listen to a Harold than a Hans, to be frank and sad about it).
Anyway, it was a worldwide instrumental hit, and you should just listen to it.
Now enjoy Peter Griffin dancing to it.