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

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

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

domain

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

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{x}{x ^{2} + 15 x + 54}

y = x^{4}

∣ 2 - 5 x ∣

f (z) = e^{\frac{1}{z - 1}}

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

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