Choose the table that represents g(x) = −2⋅f(x) when f(x) = x + 4.
a)x g (x) b) x g (x) c) x g (x) d) x g (x)
1 -5 1 5 1 -10 1 -14
2 -6 2 6 2 -12 2 -16
3 -7 3 7 3 -14 3 -18

The table that represents g(x) = −2⋅f(x) when f(x) = x + 4 is table C

Given the following function:

g(x) = -2f(x)

f(x) = x + 4

Substitute f(x) into g(x)

f(x) = -2(x+4)

Substituting the value of x into g(x) to see which of the table represents the function:

When x = 1

f(x) = -2(1+4)

f(x) = -2(5)

f(x) = -10

When x = 2

f(2) = -2(2+4)

f(2) = -2(6)

f(2) = -12

when x = 3

f(3) = -2(3+4)

f(3) = -2(7)

f(3) = -14

Hence the table that represents g(x) = −2⋅f(x) when f(x) = x + 4 is table C

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Table C  

Step-by-step explanation:

g(x) = -2ƒ(x)

ƒ(x) = x+ 4, so

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

Evaluate g(1)

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

Table C represents g(x).

Check:

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

Confirmed.

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