Final answer:
The values of x for which g(x)=0 are x = -3/2, -2, and 1.
Step-by-step explanation:
To find the values of x for which g(x)=0, we can set each factor of the given equation equal to zero and solve for x.
Setting (2x+3) = 0, we find x = -3/2.
Setting (x+2) = 0, we find x = -2.
Setting (x-1) = 0, we find x = 1.
Therefore, the values of x for which g(x)=0 are x = -3/2, -2, and 1.