The word "investigatory" pertains to investigating or conducting an investigation. Some synonyms for this word include "probing", "exploratory", "inquiring", "researching", "examination", "fact-finding", and "scrutinizing". All of these words convey the meaning of looking into a matter in order to discover, learn, or verify something. For instance, "probing" suggests a thorough and systematic approach to investigating, while "inquiring" emphasizes the questioning and searching for information aspect of investigating. "Exploratory" and "researching" both suggest a process of discovery and examination, while "fact-finding" and "scrutinizing" suggest a more analytical and critical approach to investigating a matter. These synonyms provide a variety of options to the writer in order to convey the appropriate tone and emphasis of the investigation being conducted.