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

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

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

domain

f (x) = \frac{4 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

f (x) = \frac{1 - x}{x ^{2} + 2 x - 35}

f (x) = \frac{π}{2} - arccos (1 + x - x^{2})

\frac{2 x - 6}{x + 9}

g (x) = 1 - x^{2}

(x^{3} - 1)^{\frac{2}{3}}

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