Answer:
(-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).
