What is the domain of ((x/(x+4)))/((x/(x+4))+4) ?

The domain of ((x/(x+4)))/((x/(x+4))+4) is x -16/5

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domain of ((x/(x+4)))/((x/(x+4))+4)

domain

\frac{( \frac{x}{x + 4} )}{( \frac{x}{x + 4} ) + 4}

x < - 4 or - 4 < x < - \frac{16}{5} or x > - \frac{16}{5}

Interval Notation

(- \infty, - 4) \cup (- 4, - \frac{16}{5}) \cup (- \frac{16}{5}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{16}{5}, x = - 4

The function domain

x < - 4 or - 4 < x < - \frac{16}{5} or x > - \frac{16}{5}

\frac{3 x}{4}

f (x) = x + 2 ln (1 + \frac{1}{x})

3 - (x + 1)^{2}

y = f (y, x) x = - 1 x

y = lo g_{10} (a) (x)

What is the domain of ((x/(x+4)))/((x/(x+4))+4) ?
The domain of ((x/(x+4)))/((x/(x+4))+4) is x<-4\lor-4<x<-16/5 \lor x>-16/5