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

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

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

domain

\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

f (x) = 2 n

\frac{3 x ^{2} - 3}{x ^{2} + x - 6}

\frac{12 x + 35}{x ( x + 7 )}

f (x) = x^{3} - 15 x^{2} + 75 x - 1

\frac{1}{4} x^{2} - 2 x + 15

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