What is the domain of f(x)=(x-5)/(x^2-4) ?

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

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domain of f(x)=(x-5)/(x^2-4)

domain

f (x) = \frac{x - 5}{x ^{2} - 4}

x < - 2 or - 2 < x < 2 or x > 2

Interval Notation

(- \infty, - 2) \cup (- 2, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 2

The function domain

x < - 2 or - 2 < x < 2 or x > 2

f (x) = \frac{2 x}{( x - 2 ) ( x - 7 )}

f (x) = - 5 x + 8

\frac{x ^{2}}{6 - x}

- \frac{1}{2} + \frac{3}{2} ∣ 2 x - 3 ∣

y = lo g_{3} (x)

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