Assume that is an even function, g is an odd function, and both and g

Assume that ƒ is an even function, g is an odd function, and both ƒ and g are defined on the entire real line (-∞, ∞). Which of the following (where defined) are even? odd?

a. ƒg 

b. ƒ/g 

c. g/ƒ

d. ƒ² = ƒƒ 

e. g² = gg 

f. ƒ ∘ g

g. g ∘ ƒ 

h. ƒ ∘ ƒ 

i. g ∘ g