Evaluate the function using the tables given below. Table 1 Table 2 x f ( x ) x g ( x ) - 8 4 - 4 1 1 - 4 - 1 4 4 - 1 4 - 8 8 5 5 8

Question

Evaluate the function using the tables given below.  Table 1 Table 2 x f ( x ) x g ( x ) - 8 4 - 4 1 1 - 4 - 1 4 4 - 1 4 - 8 8 5 5 8

Quizplus · Accepted Answer

To evaluate the function using the tables given, we need to substitute the value of x in both of the tables and find the corresponding values of the functions f(x) and g(x). Then, we need to multiply those values and add them to find the value of the composite function f(g(x)).

For example, to evaluate f(g(-8)):
- From Table 2, g(-8) = 5
- From Table 1, f(5) = 4
- Therefore, f(g(-8)) = 4

We can do the same for all the other values and get the following table:

x | g(x) | f(g(x))
--|------|--------
-8| 5    | 4
-4| -1   | 4
-1| 1    | -4
1 | -4   | 4
4 | 4    | 4
5 | 8    | 4
8 | 5    | -1

As we can see, the only value that is different from 4 is f(g(8)) = -1, which corresponds to option B. Therefore, the answer is B.

Evaluate the Function Using the Tables Given Below