SOLUTION: State the domain of f(g(X)) for f(x)=1/(x-12) and g(x)=x+3. Thanks!

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Question 647432: State the domain of f(g(X)) for f(x)=1/(x-12) and g(x)=x+3. Thanks!
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

for f%28x%29=1%2F%28x-12%29 and g%28x%29=x%2B3
f%28g%28x%29%29 is: replace every x in f%28x%29 with g%28x%29=x%2B3
f%28g%28x%29%29=1%2F%28%28x%2B3%29-12%29=1%2F%28x%2B3-12%29=1%2F%28x-9%29