Which of the following are true for all regular languages and all

homomorphisms?

$($a$)$ h $($L$1\backslash$cup L$2$

$)=$ h $($L$1$

$)\backslash$cap h $($L$2$

$).$

$($b$)$ h $($L$1$

$\backslash$cap L$2$

$)=$ h $($L$1$

$)\backslash$cap h $($L$2$

$).$

$($c$)$ h $($L$1$L$2$

$)=$ h $($L$1$

$)$ h $($L$2$

$).$