Peter Linz Edition 4 Exercise 4.1 Question 14 (Page No. 109)

Question

If $L$ is a regular language, prove that the language {$uv : u ∈ L,υ ∈ L^R$} is also regular.

Answer 1

$L$ is Regular so $L^R$ is also regular.

and Regular Language is closed under Concatenation so $uv$ is also regular.