What is the domain of f(x)=(3x^2-5x-2)/(x^2-4) ?

The domain of f(x)=(3x^2-5x-2)/(x^2-4) is x 2

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domain of f(x)=(3x^2-5x-2)/(x^2-4)

domain

f (x) = \frac{3 x ^{2} - 5 x - 2}{x ^{2} - 4}

x < - 2 or - 2 < x < 2 or x > 2

Solution steps

Find undefined (singularity) points:

x = 2, x = - 2

The function domain

x < - 2 or - 2 < x < 2 or x > 2

2^{x - 1} + 2

\frac{2 x ^{2} + 16 x - 18}{x ^{2} + x - 6}

x^{3} - 3 x

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

What is the domain of f(x)=(3x^2-5x-2)/(x^2-4) ?
The domain of f(x)=(3x^2-5x-2)/(x^2-4) is x<-2\lor-2<x<2\lor x>2