Final answer:
To determine (F-G)(1), find the value of F at x=1 and G at x=1, and take their difference. F(1) is -1, G(1) is 2, therefore (F-G)(1) = -1 - 2 = -3.
Step-by-step explanation:
To find (F-G)(1), we need to compute the difference between the values of functions F and G at x = 1. Function F is represented by a set of ordered pairs, and so is function G. Each of these pairs can be viewed as (x, y) where x is input and y is output. If (1, y) is in F, then F(1) = y. Similarly, if (1, y) is in G, then G(1) = y.
First, let's find F(1) and G(1). Looking at the given sets:
F={(1,-1),(3,-4)} and G= {(-4,4),(1,2),(4,-3),(0,2)}, we can see that F(1) = -1 and G(1) = 2.
Now, let's find (F-G)(1) which is F(1) - G(1):
(F-G)(1) = F(1) - G(1) = -1 - 2 = -3.