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?

Guest Jul 19, 2021

edited by
Guest
Jul 19, 2021

#1**0 **

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

MathProblemSolver101 Jul 19, 2021