(15 pt) For every two languages L1, L2 and the reverse of a language L be defined as L ^R = {w | w = x ^R for some x L}. Then, prove that (L₁L₂) ^R = L ^R₂ L ^R₁ .

3. (15 pt) For every two languages L1, L2 CE* and the reverse of a language L be defined as LR {w * | w=iR for some re L}. Then, prove that (L LRLAR