Question

!!!!!PLEASE HELP!!!!

Find (f/g)(x) for: f(x)=(x+16)/x; g(x)=(2x)/(x+4)

Answer 1

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.