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: (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

The answer is B

x g (x)

1 - 16

2 - 12

3 - 8