What is the domain of f(x)=((x/(x+8)))/((x/(x+8))+8) ?

The domain of f(x)=((x/(x+8)))/((x/(x+8))+8) is x -64/9

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domain of f(x)=((x/(x+8)))/((x/(x+8))+8)

domain

f (x) = \frac{( \frac{x}{x + 8} )}{( \frac{x}{x + 8} ) + 8}

x < - 8 or - 8 < x < - \frac{64}{9} or x > - \frac{64}{9}

Interval Notation

(- \infty, - 8) \cup (- 8, - \frac{64}{9}) \cup (- \frac{64}{9}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{64}{9}, x = - 8

The function domain

x < - 8 or - 8 < x < - \frac{64}{9} or x > - \frac{64}{9}

- 2 (x + 1)^{2} (x - 4)^{3} (x + 2)

y = \frac{x + 8}{x - 7}

\frac{1}{7 x - 21}

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

x^{2} - 6 x

What is the domain of f(x)=((x/(x+8)))/((x/(x+8))+8) ?
The domain of f(x)=((x/(x+8)))/((x/(x+8))+8) is x<-8\lor-8<x<-64/9 \lor x>-64/9