Question

how does nutrition in a fungus differ from that in a tapeworm

Answer 1

Unlike plants, which use carbon dioxide and light as sources of carbon and energy, respectively, fungi meet these two requirements by assimilating preformed organic matter; carbohydrates are generally the preferred carbon source.
Tapeworms have no digestive tract so they must eat food already digested by another animal. That is precisely what they do as a parasite inside our intestines. Tapeworms absorb nutrients directly across their skin