Final answer:
The endomysium is a connective tissue layer that invests individual muscle fibers, supporting them by supplying nutrients and extracellular fluid.
Step-by-step explanation:
The function of the endomysium is to invest individual muscle fibers. This thin connective tissue layer, composed of collagen and reticular fibers, contains the extracellular fluid and nutrients to support these muscle fibers, ensuring that they remain functional and healthy. The nutrients within the endomysium are supplied via blood to the muscle tissue, playing a crucial role in the overall muscle function and health.