SOLUTION: Find the domain of the composite function f∘g. f(x) = x + 6, g(x) = 2/x+7

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Question 1178519: Find the domain of the composite function f∘g.

f(x) = x + 6, g(x) = 2/x+7
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Find the domain of the composite function f∘g.
f%28x%29+=+x+%2B+6
g%28x%29+=+2%2F%28x%2B7%29
f∘g=f%28g%28x%29%29
f∘g=f%282%2F%28x%2B7%29%29
f∘g=2%2F%28x%2B7%29%2B6
domain:
x is in denominator and denominator cannot be equal to zero, so exclude
x%2B7=0
x=-7
and domain is
{ x element+R :+x%3C%3E-7 }

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+2%2F%28x%2B7%29%2B6%29+