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

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

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

domain

\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) = x^{2} - 5 \cdot x - 4

lo g_{10} (x^{3} - 6 x^{2} + 3 x + 10)

y = 2 x^{5} - 3 x^{4} + 5 x - 8

- x - 5 + 4

\frac{x}{2 - x}

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