Welcome to JustAnswer Health...and thank you for your question. I am a verified Expert and am delighted to help you today. Before we could say whether or not inversion would help we would need to know the source of the problem. Have you had a back injury in the past? You may be experiencing sciatic which is when the sciatic nerve which runs frm your back to your buttock all the way down the leg is irritated. This can happen with a herniated disk or inflammating in the back from a strain etc.
Ice to the lumbar area is a good idea, also take ibuprofen per package directions, if not contraindicated to decreasn any inflammation you may have. Don't do any activity that aggravates the pain. If this doesn't improve in a few days see yoru Doctor for an examination, diagnosis and treatment. I hope this information helps you, please let me know if I can help you further:-)
By \your symptoms, That is most likely sciatica. Follow the recommendations above.. plus get up and walk around every 20 minute even if for a moment..also do leg exercises while sitting.. point toes up and down, lift legs up and down.