Question

Choose the table that represents g(x) = 4⋅f(x) when f(x) = x − 5

x g(x)
1 −4
2 −3
3 −2


x g(x)
1 −16
2 −12
3 −8

x g(x)
1 −20
2 −18
3 −16


x g(x)
1 −1
2 −2
3 −3

Answer 1

Answer: (b)
x g(x)
1 -16
2 -12
3 -8


If g(x) is 4*f(x), then we can find g(x) by multiplying 4 by x-5

g(x) = 4(x-5)
= 4x-20

Now we can plug in 1,2, and 3 for x to see which table makes sense.
g(1) = 4(1) - 20
= -16

g(2) = 4(2) - 20
= -12

g(3) = 4(3) - 20
= -8

Answer 2

Applying the function, we get that the correct table is:

x g(x)

1 −16

2 −12

3 −8

--------------------

The parent function is:

$f(x) = x - 5$

Applying the multiplication:

$g(x) = 4f(x) = 4(x - 5) = 4x - 20$

Finding for the values of x:

$g(1) = 4(1) - 20 = 4 - 20 = -16$

$g(2) = 4(2) - 20 = 8 - 20 = -12$

$g(3) = 4(3) - 20 = 12 - 20 = -8$

Thus, the table is:

x g(x)

1 −16

2 −12

3 −8

A similar problem is given at https://brainly.com/question/4521517