Parenteral nutrition means feeding through a vein when the intestine cannot be used. Because the formula goes straight into the circulation, only substances that can be made into a sterile solution or an emulsion can be given. The task is to spot the component that does not belong in such a mixture.
A complete PN bag carries dextrose to supply calories, an intravenous lipid emulsion to provide essential fatty acids and energy, amino acids for tissue building, and a full panel of micronutrients which means vitamins, electrolytes and trace minerals. All four of these are routinely present.
Fibre is different. It is a non-absorbable carbohydrate that works only inside the colon, providing stool bulk and feeding gut bacteria. It is neither absorbed nor infusible, so it serves no purpose and is never added to an intravenous feed. Hence the component excluded from parenteral nutrition is fibre.
\[\boxed{\text{Fibres}}\]