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}

f (x) = 20 x - \frac{60}{x} f (a) = 10

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

x - 5 + 3

f (x) = 2 x^{3} - 6 x^{2}

f (x) = - x + 7, - 3 \leq x \leq 9

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