What is the domain of f(x)=((x^2-4x-12))/(x^2-25) ?

The domain of f(x)=((x^2-4x-12))/(x^2-25) is x 5

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domain of f(x)=((x^2-4x-12))/(x^2-25)

domain

f (x) = \frac{( x ^{2} - 4 x - 12 )}{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{2 x - 1}{2 x + 2}

f (x) = \frac{1}{2} (\frac{1}{8})^{x}

f (x) = \frac{3 x + 1}{x ^{2} - 4}

1 - x^{\frac{1}{3}}

f (x) = 135.282 x + 714.982

What is the domain of f(x)=((x^2-4x-12))/(x^2-25) ?
The domain of f(x)=((x^2-4x-12))/(x^2-25) is x<-5\lor-5<x<5\lor x>5