Leaking roof after purchase

[Alexandra Kuvalanka]

I made my very first home purchase in July this summer it is currently my primary residence but will later be used as a rental. I live in a desert area where it doesn't often rain. On September 2 we had our very first rain after several months of dry heat and just 2 months living in the home. After this rain I noticed in my garage that it was leaking pretty badly through the roof. The floor was covered in water. I went up on the roof which is a spray foam flat roof over the garage. The water puddled up on there and just leaks through with every rain. In the garage you can see water damage and what looks like patchwork done by previous owners. 

We were not given any information regarding this roof which was CLEARLY leaking before we moved in since upon the 1st rain after we moved in it had already leaked a great deal. Now that it is winter we've had a bit more rain and I'm unsure of how to handle this. Isn't the seller legally required to relay that information before sale? And shouldn't the inspector have caught onto this? Had we known of this damage we would have sought for more money during closing. I have video and pictures from the roof on September 2. Can I seek reimbursement for this somehow or will I have to just bite the bullet and pay for it myself? How would you handle it?