What are the domain restrictions of the expression g^2+7g+12/g^2−2g−24 ? select each correct answer. g≠−6 g≠4 g≠3 g≠6 g≠−3 g≠−4 asap

(-infinity, -4) ∪ (-4, 6) ∪ (6, +infinity)

Step-by-step explanation:

Any domain restrictions here stem only from division by zero.  Thus, we take the denominator, g^2−2g−24, and purposely set it to 0, and solve for g:

g^2−2g−24 = 0 => (g-6)(g+4) = 0.  Solving for g, g=6 and g= -4.

This function is defined for all values of g other than 6 and -4.  We could also write the domain as follows: (-infinity, -4) ∪ (-4, 6) ∪ (6, +infinity).

b i think

step-by-step explanation:

not really sure