If f :R → R is defined by f (x) = x² – 3x + 2, write f (f (x)).

Let f :R → R be the function defined by f (x) = 2x – 3 ∀ x ∈ R. write f^–1.

If A = {a, b, c, d} and the function f = {(a, b), (b, d), (c, a), (d, c)}, write f^–1.

Is g = {(1, 1), (2, 3), (3, 5), (4, 7)} a function? If g is described by g (x) = α x + β, then what value should be assigned to α and β.

Are the following set of ordered pairs functions? If so, examine whether the mapping is injective or surjective.

(i) {(x, y): x is a person, y is the mother of x}.

(ii){(a, b): a is a person, b is an ancestor of a}.