A step-by-step solution:

The valence electron configuration of sulfur in its elemental form is 3s23p4. Each fluorine atom contributes one electron to form a bond to sulfur, resulting in a total of 4 + 4 x 7 = 32 electrons in SF4. To determine the electron domain geometry, we must first calculate the steric number, which is the sum of the number of bonded atoms and lone pairs around a central atom. In SF4, the sulfur atom is bonded to four fluorine atoms and has one lone pair, giving it a steric number of 5. This corresponds to a trigonal bipyramidal electron domain geometry.