A method for chemical exchange saturation transfer (“CEST”) imaging that is more insensitive to off-resonance and magnetization transfer effects than other CEST methods is provided. Sn general, three different images are obtained: one obtained with radio frequency (“RF”) saturation about a labeling frequency, one obtained with RF saturation about a reference frequency, and one obtained with RF saturation about both the labeling and reference frequencies. This method, termed saturation with frequency alternating radiofrequency irradiation (“SAFARI”), is also very robust to magnetic field inhomogeneities. The three images, referred to as a labeled image, reference image, and dual frequency image, are selectively combined to produce an image of the subject in which CEST contrast is present, but errors arising from off-resonance and magnetization transfer effects are substantially suppressed.