I posted this earlier but I think I phrased it in a confusing way

Find g(x) + g(x) if g(x) = {(-4,5), (-2,-3), (0,5), (1,3), (3,-1), (5,5)} and
g(x) = {(-3,-2), (-2,6), (-1,0), (1,0), (2,-6), (3,5), (4,0), (6,-2)}.

I don't need the whole thing done i'm just very confused on how to find composite functions with sets of points!

No problem! Let's break down the process of finding the composite function with sets of points.

First, let's clarify the question. It seems like you want to find the sum of two functions, g(x) and h(x), where both g(x) and h(x) are given as sets of points.

To find g(x) + h(x), we need to combine the corresponding y-values of each set of points. Here's how you can do it step by step:

1. Write down the given sets of points for g(x) and h(x):
g(x) = {(-4,5), (-2,-3), (0,5), (1,3), (3,-1), (5,5)}
h(x) = {(-3,-2), (-2,6), (-1,0), (1,0), (2,-6), (3,5), (4,0), (6,-2)}

2. Pair up the points that have the same x-values in both g(x) and h(x). For example:
g(x) = {(-4,5), (-2,-3), (0,5), (1,3), (3,-1), (5,5)}
h(x) = {(-3,-2), (-2,6), (-1,0), (1,0), (2,-6), (3,5), (4,0), (6,-2)}
Pairing:
(-2,-3) + (-2,6)
(1,3) + (1,0)
(3,-1) + (3,5)

3. Add the corresponding y-values for each pair:
(-2,-3) + (-2,6) = (-4,3)
(1,3) + (1,0) = (1,3)
(3,-1) + (3,5) = (6,4)

4. Write down the resulting set of points for g(x) + h(x):
g(x) + h(x) = {(-4,3), (1,3), (6,4)}

And that's it! You have found the sum of g(x) + h(x) as a set of points.