7. Consider two alphabets , and 2 and assume that we have a function f : + 3 that satisfies the following property for all x, y EET: f(xy) = f(x)f(y) (a) Prove that f(e) (b) Prove that if L is regular, then f(L) is also regular =E 3 7. Consider two alphabets , and 2 and assume that we have a function f : + 3 that satisfies the following property for all x, y EET: f(xy) = f(x)f(y) (a) Prove that f(e) (b) Prove that if L is regular, then f(L) is also regular =E 3