If two functions are defined as:
g: from {1,2,3} to {a,b,c}, and g(3) = a, g(2) = b, g(1) = c

h: from {a,b,c} to {1,2,3}, and h(a) = 2, h(b) = 3, h(c) = 1

then

(1) find f(x) = (g ◦ h) (x) : __________________________.

(2) find f-1(x) = (g ◦ h)-1 (x) if it exists: __________________________.