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

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

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

domain

f (x) = \frac{x}{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

(2, 1), (8, 7)

f (x) = (7 - 8 t)^{\frac{7}{2}}

f (x) = \frac{x ^{2} ( x + 4 )}{( 7 x ^{2} - 3 )}

y = - 3 x^{2} + 30 x - 2

5 cos (π x - 2) + 5

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