What is the domain of (x-5)/(x+8) ?

The domain of (x-5)/(x+8) is x -8

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domain of (x-5)/(x+8)

domain

\frac{x - 5}{x + 8}

x < - 8 or x > - 8

Interval Notation

(- \infty, - 8) \cup (- 8, \infty)

Solution steps

Find undefined (singularity) points:

x = - 8

The function domain

x < - 8 or x > - 8

f (x) = x + 4 - 1

f (x) = \frac{x + 8}{x - 4}

ln (x)

f (x) = \frac{x - 5}{2 x ( 3 x - 5 )}

\frac{4}{x ^{2} - 3 x - 4}