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).
