Can you teach me how to do this step by step?

This is DFA and you can use any induction.

Thank you.

LLL LLLS CSISILLEAL, UU UITA I you need to collstruct a machine. 1. (15 points) Given the following recursive definition of R (string reverse): R (ar) = . = xRa, for I e I* show that (ra) R = axR