What is the domain of f(x)= 1/(1+\frac{1){1+1/x}} ?

The domain of f(x)= 1/(1+\frac{1){1+1/x}} is x 0

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domain of f(x)= 1/(1+\frac{1){1+1/x}}

domain

f (x) = \frac{1}{1 + \frac{1}{1 + \frac{1}{x}}}

x < - 1 or - 1 < x < - \frac{1}{2} or - \frac{1}{2} < x < 0 or x > 0

Solution steps

Find undefined (singularity) points:

x = - \frac{1}{2}, x = - 1, x = 0

The function domain

x < - 1 or - 1 < x < - \frac{1}{2} or - \frac{1}{2} < x < 0 or x > 0

x^{2} + 14 x + 47

f (x) = ln (3 x - 1)

f (x) = 2 5^{x}

\frac{9 x}{8 x - 3}

\frac{3 + 4 x}{2 x - 5}

What is the domain of f(x)= 1/(1+\frac{1){1+1/x}} ?
The domain of f(x)= 1/(1+\frac{1){1+1/x}} is x<-1\lor-1<x<-1/2 \lor-1/2 <x<0\lor x>0