Answer:
To find the value of A, we can substitute g(-3) = 2 into the given equation and solve for A.
g(q) = (2q-4) / (q-A)
2 = (2(-3)-4) / (-3-A)
Multiplying both sides by (-3-A), we get:
2(-3-A) = -10 - 2A
Expanding the left side, we get:
-6 - 2A = -10 - 2A
Adding 2A to both sides, we get:
-6 = -10
This is a contradiction, which means that there is no value of A that satisfies the given conditions. Therefore, the answer to the question is:
There is no value of A that satisfies the given conditions.