Right answer is (c) They show the metabolic functions
The explanation is: The dyes used in PET and SPECT are such that they become a part of the metabolic pathways and the transmitted radiations can help visualize the metabolic pathways. The machine that does the same work as PET and SPECT, i.e. visualizing the metabolic pathways is fMRI. However, since it does not use any dyes, it does not fall under nuclear imaging.