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

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

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domain of f(x)=((x+5))/(x^2-25)

domain

f (x) = \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) = \frac{1 + x - 1 - x}{x}

30 - x

f (x) = - 2 x^{2} + 8 x + 9

y = \frac{7 x - 8}{6 x + 5}

\frac{4 X - 12}{( X - 2 ) ^{2}}

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