The difference between the functions F(x) and G(x) evaluated in x = 6 is:
(F - G)(6) = -1.
How to get the difference (F - G)(6)?
For two given functions f(x) and g(x), we define the difference as:
(f - g)(x) = f(x) - g(x).
In this case, the functions are defined by the two tables, which are:
- F = {(0, 1), (2, 4), (4, 6), (6, 8)}
- G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
And we want to get (F - G)(6), this can be rewritten to:
(F - G)(6) = F(6) - G(6)
Now, by looking at the tables we can see that:
F(6) = 8
G(6) = 9
replacing that in the difference equation we get:
(F - G)(6) = F(6) - G(6) = 8 - 9 = -1
Concluding, we have:
(F - G)(6) = -1
Thus, the correct option is the last one (counting from the top).
If you want to learn more about difference of functions:
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