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{x}{x ^{2} - 49}

(16.1) (19.7)

f (x) = \frac{x + 4}{x ^{2} - 9}

f (x) = 3 x^{5} - 5 x^{3} + 3

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