Let f (x) = x^2-16 and g (x) = x+4. Find f/g and it's domain

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.

Step-by-step explanation:

f (x) = x^2-16 and g (x) = x+4

f/g = (x² - 16) / (x + 4)

= (x + 4) (x - 4) / (x + 4)

= x - 4