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f(x)=3x+5

g(x)=(x-3)^2 for x greater or equal to 3

(g/f)(x)=?

 Dec 19, 2015
 #1
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Expand the following:
(x-3)^2/(3 x+5)

(x-3) (x-3) = (x) (x) + (x) (-3) + (-3) (x) + (-3) (-3) = x^2-3 x-3 x+9 = x^2-6 x+9:
x^2-6 x+9/(3 x+5)

(x^2-6 x+9)/(3 x+5) = 9/(3 x+5)-(6 x)/(3 x+5)+x^2/(3 x+5):
Answer: | 9 / (3x+5) - (6x) / (3x + 5) + x^2 / (3x + 5)

 Dec 19, 2015

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