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

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

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

domain

f (x) = \frac{2 x ^{2}}{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

sin (6 x)

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

f (x) = x^{2} - 4

\frac{x ^{2} + 5 x + 6}{x + 15}

f (x) = x^{2} - 6 x + 13

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