What is the domain of (x/(x+6))/(x/(x+6)+6) ?

The domain of (x/(x+6))/(x/(x+6)+6) is x -36/7

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domain of (x/(x+6))/(x/(x+6)+6)

domain

\frac{\frac{x}{x + 6}}{\frac{x}{x + 6} + 6}

x < - 6 or - 6 < x < - \frac{36}{7} or x > - \frac{36}{7}

Interval Notation

(- \infty, - 6) \cup (- 6, - \frac{36}{7}) \cup (- \frac{36}{7}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{36}{7}, x = - 6

The function domain

x < - 6 or - 6 < x < - \frac{36}{7} or x > - \frac{36}{7}

f (x) = - (2 x - 2)^{2} + 3

\frac{x}{x ^{2} - 4}

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

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

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

What is the domain of (x/(x+6))/(x/(x+6)+6) ?
The domain of (x/(x+6))/(x/(x+6)+6) is x<-6\lor-6<x<-36/7 \lor x>-36/7