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There are three real numbers x that are not in the domain of
\[f(x) = \cfrac{1}{1+\cfrac{2}{1+\cfrac 3x}}.\]
What is the sum of those three numbers?

 Feb 14, 2022
 #1
avatar+251 
+3

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

 Feb 15, 2022
 #2
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0

0   and -3 and    -1  

 Feb 15, 2022

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