Answer all parts correctly with clear explainations and step by step Consider the functions double and palindrome, defined respectively as

double $x=x**2$

palindrome $xs=$ reverse $xs==xs$

$($a$)(10$ points$).$ What is the type of double?

$($b$)(10$ points$).$ What is the type of palindrome?

$($c$)(10$ points$).$ Notice that there are certain type class constraints present in both types of double and palindrome. What is the reason for this, in either case?