Answer:
f/g=(x+4)
Step-by-step explanation:
f*g means multiply the functions.
(x^2-16)(x-4)=x^3-4x^2-16x+64.
f/g means divide the functions
(x^2-16)/(x-4), but the numerator is a difference of squares, (x+4)(x-4), and the last cancels the denominator.
f/g=(x+4)
Domains of a composite function are the domains that satisfy both.
f(x) has domain of all reals.
g(x) does too.
Their composite domain is all reals
In the second, the denominator is (x-4).
The function doesn't exist at x=4, regardless of what can be factored. Therefore,
the domain of f/g is all reals except x=4.
