Question

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Answer 1

Answer:

{(-4, -22), (0, -2), (-1, -7), (5, 23), (8, 38)}

Step-by-step explanation:

Given the linear function, g(x) = 5x - 2:

In order to find the values for g(x) column, substitute the given x-values as input.

x = -4

g(-4) = 5x - 2

g(-4) = 5(-4) - 2

g(-4) = -20 - 2 = -22

g(-4) = -22

x = 0

g(0) = 5x - 2

g(0) = 5(0) - 2

g(0) = 0 - 2 = -22

g(0) = -2

To solve for the x column, substitute the given g(x) values into the function:

g(x) = - 7

g(x) = 5x - 2

-7  = 5x - 2

-7 + 2 = 5x - 2 + 2

-5 = 5x

-5/5 = 5x/5

-1 = x

g(-1) = -7 (The value of x = -1 when g(x) = -7).

g(x) = 23

g(x) = 5x - 2

23 = 5x - 2

23 + 2 = 5x - 2 + 2

25 = 5x

25/5 = 5x/5

5 = x

g(5) = 23 (The value of x = 5 when g(x) = 23).

g(x) = 38

g(x) = 5x - 2

38 = 5x - 2

38 + 2 = 5x - 2 + 2

40 = 5x

40/5 = 5x/5

8 = x

g(8) = 38 (The value of x = 8 when g(x) = 38).