Answer:
x g(x)
-4 -22
-1 -7
0 -2
5 23
8 38
Explanation:
The complete table is:
x g(x)
-4 A
B -7
0 C
D 23
E 38
Then, the value of A can be calculated replacing x by -4 in g(x) as:
g(-4) = 5*(-4) - 2
g(-4) = -20 - 2
g(-4) = -22
The value of B can be calculated replacing g(x) by -7 and solving for x as:
- 7 = 5x - 2
- 7 + 2 = 5x
- 5 = 5x
-1 = x
The value of C can be calculated as:
g(0) = 5*0 -2
g(0) = -2
The value of D is:
23 = 5x - 2
23 + 2 = 5x
25 = 5x
25/5 = 5x/5
5 = x
The value of E is:
38 = 5x - 2
38 + 2 = 5x
40 = 5x
40/5 = 5x/5
8 = x
