We know that domain (fof)=domain(f)=(1,2,3,4)
By substituting the values
(fof)(1)=f(f(1))=f(4)=2
(fof)(2)=f(f(2))=f(1)=4
(fof)(3)=f(f(3))=f(3)=4
(fof)(4)=f(f(4))=f(2)=1
Therefore, fof=((1,2),(2,4),(3,3),(4,1))
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. Are f and g equal?
Justify your answer. (Hint: One may note that two function f: A → B and g: A → B such that f(a) = g(a) &mnForE;a ∈A, are called equal functions).