5! what are the domain restrictions of the expression g^2+2g−8/g^3+g^2−12g ? select each correct answer.

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.