ZFOURGE is a new imaging survey, which employs unique near-infrared medium- band filters designed to probe galaxy properties over the last 12 billion years. By supplementing the high-quality ZFOURGE galaxy catalogues with data in radio, X- ray, and infrared wavebands, we have studied the complex interplay between AGNs and their host galaxies to a time when the Universe was only 10-15% of its present age. I will report on our study to compare the 160-um derived star-formation rates in active and non-active galaxies and show that AGN hosts, over all redshifts, tend to exhibit an elevated average star-formation activity compared to their non-active counterparts.