What are the domain restrictions of the expression g^2+7g+12/g^2−2g−24 ? select each correct answer. ( pick more than 1) g≠4 g≠6 g≠3 g≠−6 g≠−4 g≠−3

Step-by-step explanation:

The domain restrictions of this expression stem from the denominator, g^2−2g−24.  Remembering that we can NOT divide by zero, we purposely set g^2−2g−24 = 0 and solve for g; the resulting g values are the ones g cannot have here.

g^2−2g−24 = (g-6)(g+4) = 0.  Then the forbidden g values are g = 6 and g = -4.

We can write the domain in set notation as:  (-∞,-4) ∪ (-4,6) ∪ (6, infinity).  Or  

we can just type out the domain restrictions:  g≠6 and g≠−4.

(-infinity, -4)∪

Step-by-step explanation:

Let's simplify step-by-step.

7n^4+4+4n^2+3n^2+3−2n^4

=7n^4+4+4n^2+3n^2+3+−2n^4

Combine Like Terms:

=7n^4+4+4n^2+3n^2+3+−2n^4

=(7n^4+−2n^4)+(4n^2+3n^2)+(4+3)

=5n^4+7n^2+7

=5n^4+7n^2+7

Hope this helps :)