Question

If f = {(4, 1), (5, 2), (6, 3)} and g = { (3, 9), (1, 7), (2, 8)}, then gof is ______ 

Options

• {}

• {(4, 7), (5, 8), (6, 9)}

• {(7, 4), (8, 5), (9, 3)}

• {(4, 8), (5, 5), (6, 9)}

Answer 1

If f = {(4, 1), (5, 2), (6, 3)} and g = { (3, 9), (1, 7), (2, 8)}, then gof is {(4, 7), (5, 8), (6, 9)}.

Explanation:

(gof) (4) = g (f(4)) = g (1) = 7,

(got) (5) = g (f (5)) = g (2) = 8

and (got) (6) = g (f (6)) = g (3) = 9