cant have guy friends?

so when my husband and i got married, he says for us both not to have any opposite sex friends. he says guys and girls cant be friends cause it will just lead to sex or liking each other. while i dont quite agree w him, i did it for the sake of our marriage. its been 5yrs now, i found out hes been talking to and making friends w all of his female coworkers. i even find their hair strands or fur on the coat in his car and coat. its almost like hes cheating on me. i cant talk to any guys or make friends w them. but hes talking and making friends w girls behind my back. what should i do? coukd he be cheating?