What is the domain of (x/(x+2))/(x/(x+2)+2) ?

The domain of (x/(x+2))/(x/(x+2)+2) is x -4/3

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domain of (x/(x+2))/(x/(x+2)+2)

domain

\frac{\frac{x}{x + 2}}{\frac{x}{x + 2} + 2}

x < - 2 or - 2 < x < - \frac{4}{3} or x > - \frac{4}{3}

Interval Notation

(- \infty, - 2) \cup (- 2, - \frac{4}{3}) \cup (- \frac{4}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{4}{3}, x = - 2

The function domain

x < - 2 or - 2 < x < - \frac{4}{3} or x > - \frac{4}{3}

- \frac{16}{( 5 + x ) ^{2}}

3 - (x - 4)^{2}

f (x) = - x^{2} - x + 2

f (x) = \frac{5 x + 2}{x ^{2} + 6 x + 8}

What is the domain of (x/(x+2))/(x/(x+2)+2) ?
The domain of (x/(x+2))/(x/(x+2)+2) is x<-2\lor-2<x<-4/3 \lor x>-4/3