Let f (x) = x^2+x-12 and g (x) = x-2. find g (x) / f (x) and its domain. explain how you determined the domain.

Domain is the numbres you can use

find the domain of the combined fraction

remember we can't divide by 0 so set denomenator equal to 0 to find the restricted values

f (x) is denom

f (x) = 0=x^2+x-12

0 = (x-3) (x+4)

restricted values are x=-4 and 3

for g (x), the domain is al real number

so the domain for g (x) / f (x) is all real numbers except - 4 and 3