What is the domain of f(x)=((x/(1+x)))/(1+(x/(1+x))) ?

The domain of f(x)=((x/(1+x)))/(1+(x/(1+x))) is x -1/2

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domain of f(x)=((x/(1+x)))/(1+(x/(1+x)))

domain

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

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

Interval Notation

(- \infty, - 1) \cup (- 1, - \frac{1}{2}) \cup (- \frac{1}{2}, \infty)

Solution steps

Find undefined (singularity) points:

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

The function domain

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

f (x) = \frac{x ^{2} - 1}{2 x - 3}

\frac{2 x ^{2} - 9 x + 4}{x ^{2} - 7 x + 12}

f (x) = \frac{4}{x + 7}

x^{4} - 7 x^{3}

y = x^{4} - 8 x^{2} - 9

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