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

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.

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step-by-step explanation: