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July 23, 2014

July 23, 2014

Posted by **MV** on Saturday, December 3, 2011 at 10:12am.

Find: (fog)(x)

(gof)(x)

(fog)(-1)

- Composite Functions -
**Steve**, Saturday, December 3, 2011 at 5:58pmf(g) = (7g+28)/(g-3)

= (7(3x+28)/(x-7) + 28)/(3x+28)/(x-7) - 3)

= x

g(f) = (3f+28)/(f-7)

= (3(7x+28)/(x-3) + 28) / ((7x+28)/(x-3) - 7)

= x

How odd! However, if you solve for f^{-1}(x) you get g(x) and vice-versa.

f(g(-1)) = f(-1) = -1

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