Question

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

Answer 1

Answer: THIRD OPTION.

Step-by-step 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 $f(x) = x + 4$:

Answer 2

Answer: C.                                                                                                             x g(x)

1 −10

2 −12

3 −14

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