What is the domain of f(x)=-(2(x^2-1))/(x^2-4) ?

The domain of f(x)=-(2(x^2-1))/(x^2-4) is x 2

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domain of f(x)=-(2(x^2-1))/(x^2-4)

domain

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

f (x) = x^{2} + 4 x - 1, x \geq - 2 - 5

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

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

f (x) = \frac{( x ^{2} - 4 )}{1 - x ^{2}}

f (x) = x^{3} - 12 x + 1

What is the domain of f(x)=-(2(x^2-1))/(x^2-4) ?
The domain of f(x)=-(2(x^2-1))/(x^2-4) is x<-2\lor-2<x<2\lor x>2