Question

Choose the table that represents g(x) = −2⋅f(x) when f(x) = x + 4.

x g(x)
1 −5
2 −6
3 −7

x g(x)
1 5
2 6
3 7

x g(x)
1 −10
2 −12
3 −14

x g(x)
1 −14
2 −16
3 −18

Answer 1

Answer: C. x g(x)

1 −10

2 −12

3 −14

Step-by-step explanation: i took the test babes

Answer 2

Answer: THIRD OPTION.

Explanation:

Since
`g(x) = -2f(x)`, then
`g(x)` is:

`g(x)=-2( x + 4)\\\\g(x)=-2x-8`

In order to find which table represents
`g(x) = -2f(x)` when
`f(x) = x + 4`, you can follow these steps:

1. Substitute
`x=1` into the function
`g(x)=-2x-8`:

`g(1)=-2(1)-8\\\\g(1)=-10`

2. Substitute
`x=2` into the function
`g(x)=-2x-8`:

`g(2)=-2(2)-8\\\\g(2)=-12`

3. Substitute
`x=3` into the function
`g(x)=-2x-8`:

`g(3)=-2(3)-8\\\\g(3)=-14`

Notice that those ouput values (for
`x=1,\ x=2` and
`x=3`) matches with the table provided in the third option. That table represents
`g(x) = -2f(x)` when
`f(x) = x + 4`: