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

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

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

domain

f (x) = \frac{x ^{4}}{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

y = x + \frac{1}{x}

\frac{5 x + 30}{x + 7}

f (x) = 9 x + 2

\frac{( 2 x + 3 )}{x ^{2} + 3 x + 2}

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

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