SOLUTION: What is the domain of f of g of x if f(x)= square root of x-6 and g(x)= 1/x^2-2

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Question 405745: What is the domain of f of g of x if f(x)= square root of x-6 and g(x)= 1/x^2-2
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is the domain of f of g of x if
f(x)= square root of x-6 and g(x)= 1/x^2-2
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f(g(x)) = f(1/(x^2-2)) = sqrt[1/(x^2-2) -6]
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Domain of g is All Real numbers except +-sqrt(2)
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Domain of f is All Real number >- 6
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Therefore the Domain of f(g(x)) is all Real Numbers
>= -6 except x = +-sqrt(2.
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Cheers,
Stan H.