To find the x-intercepts of g(x), we need to set g(x) equal to zero and solve for x.
g(x) = 2/3x(x+8) = 0
Since the product of two factors is zero, one or both of the factors must be zero.
2/3x = 0 or x+8 = 0
Solving for x, we get:
x = 0 or x = -8
Therefore, the x-intercepts of g(x) are (0,0) and (-8,0).