The following are not permitted: g = 0, g + -4 and g= 3
Step-by-step explanation:
Recall that division by zero is not defined or allowed. Thus, we take the denominator, g^3+g^2−12g and set it equal to zero, to identify the x values at which the den. is zero:
g^3+g^2−12g = 0
g(g^2 + g - 12) = 0
g(g+4)(g-3) = 0 => g = 0, g + -4 and g= 3.
These three x values constitute the domain restrictions; they are not permitted.
