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There are three real numbers $x$ that are not in the domain of$$f(x) = \frac{1}{1+\frac{1}{1+\frac 1x}}.$$What is the sum of those three numbers? 

 
 Jul 19, 2021
edited by Guest  Jul 19, 2021
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X = 0

1+1/x=0

x+1=0

x=-1

1+1/(1+1/x) = 0

1 + 1/x + 1 = 0

2+ 1/x = 0

2x +1 = 0

2x = -1

x = -1/2

 

0+(-1)+(-1/2)=-3/2

 
 Jul 19, 2021

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