The image shows an ant that has been infected by a fungus, with the sporangium of the fungus emerging from the ant’s head. what type of nutrition is the fungus in the image demonstrating?

The fungus is demonstrating a PARASITIC MODE OF NUTRITION.
A parasite is a living organism which lives on another living organism and derived its nourishment from it. The infected living organism is called host and a parasitic relationship is damaging to the host, because it does not derived any benefit at all from the relationship rather it may end up loosing its life.