Answer:
Step-by-step explanation:
All you have to do here is to divide polynomial f(x) = (x + 16)/x by polynomial g(x) = 2x / (x + 4), simplify the result and label the quotient properly. Recall that division by a fraction involves inverting the divisor fraction and then multiplying.
(x + 16) (x + 4) (x + 16)(x + 4)
(f/g)(x) = ------------- * ----------- = --------------------
x 2x 2x^2
Note that this quotient is true for all x except x = 0.