What is the domain of (x-5)/(x^2-25) ?

The domain of (x-5)/(x^2-25) is x 5

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domain of (x-5)/(x^2-25)

domain

\frac{x - 5}{x ^{2} - 25}

x < - 5 or - 5 < x < 5 or x > 5

Interval Notation

(- \infty, - 5) \cup (- 5, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = - 5

The function domain

x < - 5 or - 5 < x < 5 or x > 5

f (x) = (x + 1)^{2} + 1

\frac{4 x - 4}{x + 2}

ln (ln^{2} (x))

f (x) = \frac{2}{3 x - 4}

x + 4 + 2

What is the domain of (x-5)/(x^2-25) ?
The domain of (x-5)/(x^2-25) is x<-5\lor-5<x<5\lor x>5