For every language LC and for every function f : $21->22,$ we define the language Las:

Lf $=\{$f$(01)$ f$(02)$ f$(\backslash$sigma $\backslash$eta $)$: $0102\backslash$sigma $\backslash$eta $\backslash$Epsilon L$\}$ n

Two statements are given:

$$ Statement A: For every L and every f$,$ if L is regular, then If is also regular.

$$ Statement B: For every L and every f$,$ if Lf regular, then L is also regular. f is

Which of the following is correct?

a$.$ Statement A is correct, and Statement B is false.

b$.$ Statement A is false, and Statement B is correct.

c$.$ Both statements are correct.

d$.$ Both statements are false.