SOLUTION: I have a quesiton on how to fine the domain of a compostite funtion f*g f(x) =x+6, g(x) =4/x+8 i think it is x is not equal to -14

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Question 136623: I have a quesiton on how to fine the domain of a compostite funtion f*g
f(x) =x+6, g(x) =4/x+8

i think it is x is not equal to -14
Answer by solver91311(12126) About Me  (Show Source):
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Remember f and g are functions, f(x) and g(x) are the values of those functions at x.

f%28x%29=x%2B6, g%28x%29=4%2F%28x%2B8%29

(f°g)(x) = f%28g%28x%29%29=g%28x%29%2B6=%284%2F%28x%2B8%29%29%2B6

(f°g)(x) = %284%2B6%28x%2B8%29%29%2F%28x%2B8%29=%286x%2B52%29%2F%28x%2B8%29

So, for what values of x is (f°g) undefined? The domain is the rest of the real numbers.