Question

5 STARS!!!

What are the domain restrictions of the expression g^2+2g−8/g^3+g^2−12g ?

Select each correct answer.

Answer 1

The following are not permitted: g = 0, g + -4 and g= 3

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.

Answer 2

g = -4, 3, 0

Explanation:

(g² + 2g - 8)/(g³ + g² - 12g)

(g - 2)(g + 4)/g(g² + g - 12)

(g - 2)(g + 4)/g(g + 4)(g - 3)