What is the domain of f(x)=(3x^2)/(x^2-4) ?

The domain of f(x)=(3x^2)/(x^2-4) is x 2

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domain of f(x)=(3x^2)/(x^2-4)

domain

f (x) = \frac{3 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

cr i t i c a l \frac{x ^{2}}{1 - x}

p a r i t y 2 x + 3

s l o p e in t erce pt 3 x - 3 y = 9

e x t re m e f (x) = 3 x^{\frac{2}{5}} - x^{\frac{3}{5}}

r an g e \frac{x + 1}{2 x + 1}

What is the domain of f(x)=(3x^2)/(x^2-4) ?
The domain of f(x)=(3x^2)/(x^2-4) is x<-2\lor-2<x<2\lor x>2