Question 1199678
Let's start with your equation (1):
2 = a(1+b)^3+2
To satisfy this equation, the 1st term a(1+b)^3 must be equal to zero.
a(1+b)^3+2 = 0, which means either a=0 or (1+b)^3 = 0
If a = 0, we would have f(x) = 2 which would not satisfy the 2nd point (3,6).
(1+b)^3 = 0 -> b = -1.
Use equation (2) to solve for a:
8a + 2 = 6 -> a = 1/2