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

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

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

domain

f (x) = \frac{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) = lo g_{5} (4 - x)

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

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

f (x) = \frac{1}{x ^{2} + 2 x - 3}

- 3 x + 1

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