Let A = {– 1, 0, 1, 2}, B = {– 4, – 2, 0, 2} and f, g : A → B be functions defined by f (x) = x2 – x, x ∈ A and ( ) 2 1 1, 2 g x = x − − x ∈ A. Are f and g equal? Justify your answer. (Hint: One may note that two functions f : A → B and g : A → B such that f (a) = g(a) ∀ a ∈ A, are called equal functions).

Let A = {– 1, 0, 1, 2}, B = {– 4, – 2, 0, 2} and f, g : A → B be functions defined by f (x) = x2 – x, x ∈ A and ( ) 2 1 1, 2 g x = x − − x ∈ A. Are f and g equal? Justify your answer. (Hint: One may note that two functions f : A → B and g : A → B such that f (a) = g(a) ∀ a ∈ A, are called equal functions).