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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

Respuesta :

luisejr77

Answer: THIRD OPTION.

Step-by-step explanation:

Since  [tex]g(x) = -2f(x)[/tex], then [tex]g(x)[/tex] is:

[tex]g(x)=-2( x + 4)\\\\g(x)=-2x-8[/tex]

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

1. Substitute [tex]x=1[/tex] into the function [tex]g(x)=-2x-8[/tex]:

 [tex]g(1)=-2(1)-8\\\\g(1)=-10[/tex]

2. Substitute [tex]x=2[/tex] into the function [tex]g(x)=-2x-8[/tex]:

 [tex]g(2)=-2(2)-8\\\\g(2)=-12[/tex]

3. Substitute [tex]x=3[/tex] into the function [tex]g(x)=-2x-8[/tex]:

 [tex]g(3)=-2(3)-8\\\\g(3)=-14[/tex]

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

Answer: C.                                                                                                             x g(x)

1 −10

2 −12

3 −14

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

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