What is the domain of (x/(x+9))/(x/(x+9)+9) ?

The domain of (x/(x+9))/(x/(x+9)+9) is x -81/10

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domain of (x/(x+9))/(x/(x+9)+9)

domain

\frac{\frac{x}{x + 9}}{\frac{x}{x + 9} + 9}

x < - 9 or - 9 < x < - \frac{81}{10} or x > - \frac{81}{10}

Interval Notation

(- \infty, - 9) \cup (- 9, - \frac{81}{10}) \cup (- \frac{81}{10}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{81}{10}, x = - 9

The function domain

x < - 9 or - 9 < x < - \frac{81}{10} or x > - \frac{81}{10}

f (x) = (\frac{5}{4})^{- x}

f (x) = 8 - x

f (x) = 16 - (12 x + 8)^{2}

(- 4.6) (14.13)

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

What is the domain of (x/(x+9))/(x/(x+9)+9) ?
The domain of (x/(x+9))/(x/(x+9)+9) is x<-9\lor-9<x<-81/10 \lor x>-81/10