To complete the first space on the table, we need to replace g(x) by 7 and solve for x as:
g(x) = -4x - 1
7 = -4x - 1
7 + 1 = -4x - 1 + 1
8 = - 4x
8/(-4) = -4x/(-4)
-2 = x
So, the first space is -2
Then, for the second space, we need to replace x by 0 and calculate g(x) as:
g(x) = -4x - 1
g(x) = -4*0 - 1
g(x) = 0 - 1
g(x) = -1
So, the second space is -1
The third space is calculated as the first one, replacing g(x) by -13 and solving for x:
g(x) = -4x - 1
-13 = -4x - 1
-13 + 1 = -4x - 1 + 1
-12 = - 4x
-12/(-4) = -4x/(-4)
3 = x
So, the third space is 3
Finally, the fourth space is calculated as the second one, replacing x by -1, so:
g(x) = -4x - 1
g(x) = -4*(-1) - 1
g(x) = 4 - 1
g(x) = 3
So, the fourth space is 3
Answer:
x g(x)
-2 7
0 -1
3 -13
-1 3