Guided Example #1 - Composition of Functions

Let $g = {(1, 2), (4, 5), (0, 4), (3, 8)}$ and $f = {(4, 1), (1, 4), (0, 3), (- 2, 5)}$

a. 1
b. 5
c. 2
d. 4

The correct answer is C. To see why, view each of the steps below.

$(g \circ f) = 4$ is by definition $g (f (4))$ . Since $f (4) = 1$ and $g (1) = 2$ .

$(g \circ f) = 4$ is by definition $g (f (4))$ . Since $f (4) = 1$ and $g (1) = 2$ .