SOLUTION: Find the domain of the composition function f o g F(x) = 1/ x-9 ; g(x) = 1/x

Question 769008: Find the domain of the composition function f o g
F(x) = 1/ x-9 ; g(x) = 1/x

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the domain of the composition function f o g
F(x) = 1/ x-9 ; g(x) = 1/x
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fog(x) = f[g(x)] = f[1/x] = 1/[(1/x)-9] = 1/[(1-9x)/x] = x/(1-9x)
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Domain::: ??
The dinominator cannot be zero.
Solve 1-9x = 0
9x = 1
x = 1/9
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Domain is "All Real Numbers except x = 1/9"
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Cheers,
Stan H.
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