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The mm-Wave Interferometric Survey of Dark Object Masses (WISDOM) is probingsupermassive black holes (SMBHs) in galaxies across the Hubble sequence viamolecular gas dynamics. We present the first WISDOM study of a luminousinfrared galaxy with an active galactic nuclei (AGN): Fairall 49. We use newALMA observations of the CO(2-1) line with a spatial resolution of about 80 pctogether with ancillary HST imaging. We reach the following results: (1) The COkinematics are well described by a regularly rotating gas disk with a radialinflow motion, suggesting weak feedback on the cold gas from both AGN andstarburst activity; (2) The dynamically inferred SMBH mass is 1.6 +/- 0.4 (rnd)+/- 0.8 (sys) x 10^8 Msun, assuming that we have accurately subtracted the AGNand starburst light contributions, which have a luminosity of about 10^9 Lsun;(3) The SMBH mass agrees with the SMBH-stellar mass relation but is about 50times higher than previous estimates from X-ray variability; (4) Thedynamically inferred molecular gas mass is 30 times smaller than that inferredfrom adopting the Galactic CO-to-H_2 conversion factor (X_CO) for thermalisedgas, suggesting low values of X_CO; (5) the molecular gas inflow rate increasessteadily with radius and may be as high as 5 Msun/yr. This work highlights thepotential of using high-resolution CO data to estimate, in addition to SMBHmasses, the X_CO factor and gas inflow rates in nearby galaxies.

WISDOM Project -- XIII. Feeding molecular gas to the supermassive black hole in the starburst AGN-host galaxy Fairall 49