Consider the set of real numbers R. Then the set G= {f s.t f: R → R } of all real valued functions of real variables is a group with respect to pointwise addition of functions(that is, if f, g ε G, then f + g ε G where
(f + g)(x)= f (x)+ g(x)

for all x in R) having zero function as additive identity and 

- f (defined by (- f )( x)= - f (x))
is the additive inverse of f in G. Check Whether
A. The set H of even functions is normal in G.
B. For a non-zero real number a, the set H={ f ε G s.t f(a)=0} is normal in G