Final answer:
By applying the Segment Addition Postulate, it's determined that the length of segment EG, which is the sum of EF and FG, is 36 units.
Step-by-step explanation:
Segment Addition Postulate
The Segment Addition Postulate states that if point F is between points E and G, then the length of segment EF plus the length of segment FG equals the length of segment EG. Given that EF = 22 and FG = 14, you can find EG by simply adding these two lengths together:
EG = EF + FG
EG = 22 + 14
EG = 36
Therefore, the length of segment EG is 36 units.