A Meriden man pleaded guilty Thursday to a federal sex trafficking charge after authorities say he recruited three teenage girls, advertised on a website and brought them to hotels to engage in prostitution.Carlen Davis, 36, of 218 Hobart St., waived his right to be indicted and pleaded guilty Thursday in Hartford federal court to one count of trafficking of a minor. Sentencing is scheduled to occur on Nov. 14. Davis faces a mandatory minimum prison sentence of 10 years and a maximum term of life in prison. Davis has also agreed to pay restitution to the three girls. Between late 2014 and November 2016, Davis “recruited, harbored and transported” three girls, ages 14, 15, and 16, to engage in prostitution, according to a statement released by the U.S. Department of Justice. “Davis used the website Backpage.com to advertise the minor victims’ services, and he transported the girls to Connecticut hotels, including hotels in Meriden, Milford, and Hamden, where they engaged in prostitution,” the statement said. Davis has been in custody since Meriden police arrested him on state charges on Dec. 9. The investigation began on Nov. 3 after Meriden police met with a 15-year-old girl, a social worker and a member of the state Department of Children and Families. The teen reported that over the summer, while she was 14, she met a man in Hartford, later identified as Davis, according to a police report. The teen told police Davis would pick her up and drive her to different hotels, including one in Meriden, where she performed sex acts for money, the report said. The teen also reported that David “pushed” her into sexual acts with him.On Nov. 7, Meriden police, state police and an FBI special agent conducted another interview of the teen with her mother present. The mother told police that after seeing messages on her daughter’s Facebook account from Davis, she messaged him that her daughter was 14, the report said.Davis is still facing state charges of risk of injury, first-degree sexual assault and trafficking in persons. He has yet to enter a plea in the case, and is scheduled to appear in New Haven Superior Court on Aug. 29, according to court records. The Connecticut Human Trafficking Task Force, FBI and Meriden police were involved in the investigation.