1. f is the function from {a, b, c} to {1, 2, 3} such that f(a)=2, f(b)=3, f(c)=1. Is f invertible, and if it is, what is its inverse?

2. Let f be the function from {a, b, c, d} to {1, 2, 3} defined by f(a) = 3, f(b) = 2, f(c) = 1, and f(d) = 3. Is f an onto function?

3. Let f be the function from x to y and X = {a, b, c} and Y = {1, 2, 3} such that f(a)=3, f(b)=2, and f(c)=1. If f: X Y is a function, then the inverse of f is the function f-1: Y X show that function composition of both will give an Identity set (OR) In other words prove f-1 f = 1X and f f-1 = 1Y