What is the domain of (x/(x+5))/(x/(x+5)+5) ?

The domain of (x/(x+5))/(x/(x+5)+5) is x -25/6

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domain of (x/(x+5))/(x/(x+5)+5)

domain

\frac{\frac{x}{x + 5}}{\frac{x}{x + 5} + 5}

x < - 5 or - 5 < x < - \frac{25}{6} or x > - \frac{25}{6}

Interval Notation

(- \infty, - 5) \cup (- 5, - \frac{25}{6}) \cup (- \frac{25}{6}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{25}{6}, x = - 5

The function domain

x < - 5 or - 5 < x < - \frac{25}{6} or x > - \frac{25}{6}

- 3 x^{2} + 11 x + 1

f (x) = \frac{( x + 3 )}{( x + 6 )}

f (x) = \frac{x + 8}{x ^{2} + 5 x - 24}

\frac{4 x - 8}{( x - 4 ) ( x + 1 )}

f (x) = 5 x - 12

What is the domain of (x/(x+5))/(x/(x+5)+5) ?
The domain of (x/(x+5))/(x/(x+5)+5) is x<-5\lor-5<x<-25/6 \lor x>-25/6