Question

The tables show two functions evaluated for the given
values of x.
Which table shows the values of the combined
function determined by dividing g(x) by f(x)?
Х
f(x)
-8
-6
-4
-2
4
6
8
10
8.
O
X
g(x)
f(x)
-4
1
5
4
1
3
-
1
7
Х
g(x)
-8
54
-4
10
4
18
8
70
ܗ | ܗ | ܗܙ ܚܕܐ ܗ
х
4
8
O
g(x)
f(x)
5
-3
-7
-8
-4
4
8
o
х
g(x)
f(x)
-9
-5
3
7
-8
4
O
х
g(x)
f(x)
oi |
4
1
5
1
3
8
1
7

Answer 1

Answer:

$\begin{array}{ccccc}x & {-8} & {-4} & {4} & {8} & \frac{g(x)}{f(x)} & {-9} & {-5} & {3} & {7} \ \end{array}$

Step-by-step explanation:

Given

The attached tables of f(x) and g(x)

Required

A new table

For both tables, the x-values are the same.

So, the new table is as follows:

$\begin{array}{ccccc}x & {-8} & {-4} & {4} & {8} & \frac{g(x)}{f(x)} & {54/-6} & {10/-2} & {18/6} & {70/10} \ \end{array}$ --- i.e. divide g(x) by f(x) of the same x values

After the division, we have:

$\begin{array}{ccccc}x & {-8} & {-4} & {4} & {8} & \frac{g(x)}{f(x)} & {-9} & {-5} & {3} & {7} \ \end{array}$

Answer 2

By taking the quotient between the two functions evaluated in one value of x, we will see that the correct option is the third table (counting from the top).

How to find the correct table?

We want to find the table that correctly represents the quotient of the two functions f(x) and g(x).

To do this, let's find each value of that quotient and see which table contains them.

for x = -8 we have:

• f(-8) = -6
• g(-8) = 54.

Then the quotient is:

g(-8)/f(-8) = 54/-6 = -9

There is only one table that contains this value, so only with this, we can conclude that the correct option is the third table (counting from the top).

If you want to learn more about rational functions, you can read:

https://brainly.com/question/1851758