What is the domain of f(x)=sqrt((2x-6)/(x^2-4)) ?

The domain of f(x)=sqrt((2x-6)/(x^2-4)) is -2 = 3

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domain of f(x)=sqrt((2x-6)/(x^2-4))

domain

f (x) = \frac{2 x - 6}{x ^{2} - 4}

- 2 < x < 2 or x \geq 3

Interval Notation

(- 2, 2) \cup [3, \infty)

Solution steps

Find non-negative values for radicals:

- 2 < x < 2 or x \geq 3

Find undefined (singularity) points:

x = 2, x = - 2

Combine real regions and undefined points for final function domain

- 2 < x < 2 or x \geq 3

What is the domain of f(x)=sqrt((2x-6)/(x^2-4)) ?
The domain of f(x)=sqrt((2x-6)/(x^2-4)) is -2<x<2\lor x>= 3