Question

using the above diagram, what evidence in the rock layers indicate that the formation of igneous rock f occurred after rock layer e was in place?

the unconformity between rock f and rock layer e
the zone of contact metamorphism between rock f and rock layer e
the presence of extrusive igneous rock below rock layer e
the presence of radioactive minerals in rock f

Explanation:

Contact metamorphism occurs when existing rocks (in this case, rock layer E) are altered by heat and chemicals from nearby magma (which forms igneous rock F). This alteration (the zone of contact metamorphism) can only happen if rock layer E was already present when the magma (that formed F) intruded. Unconformity just shows a gap in the geological record. Extrusive igneous rock below E and radioactive minerals in F don't directly relate to the timing of F relative to E.

Answer:

the zone of contact metamorphism between rock F and rock layer E