Question

Let f = {(–2, 4), (–1, 2), (0, 0), (1, –2), (2, –5)}. Let g = {(–3, 3), (–1, 1), (0, –3), (1, –4), (3, –6)}. What is g(f(2))? -5 -1 2 The composition is undefined.

Answer 1

The composition is undefined

Explanation:

edg 2020

Answer 2

First find the value of f(2). This is the y coordinate of the point with x = 2 as the x coordinate. Look through the set f and see that (2,-5) is one of the points. This point says x = 2 and y = -5. So f(2) = -5

We will replace the f(2) with -5 to go from this
g(f(2))
to this
g(-5)

Now repeat the same steps but for g this time
Look through the set g for a point with x coordinate of -5. That point is NOT listed. Why not? Because the x values are -3, -1, 0, 1 and 3. None of which are -5.
No such point exists.

Final Answer: The composition is undefined