Let f and g be the following functions from the naturals to the naturals.

f(x) = x + 1 if x is even, f(x) = x - 1 if x is odd

g(x) = x/2 if x is even, g(x) = (x - 1)/2 if x is odd.

Match the following four compositions with their definitions.

h(x) = k + 1 if x = 4k or x = 4k + 1, h(x) = k if x = 4k + 2 or x = 4k + 3	Answer 1Choose...f fg fg gf g
h(x) = g(x)	Answer 2Choose...f fg fg gf g
h(x) = x	Answer 3Choose...f fg fg gf g
h(x) = largest natural k such that 4k <= x	Answer 4Choose...f fg fg gf g