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

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

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

domain

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

x < - 2 or x > 2

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \leq - 2 or x \geq 2

Find undefined (singularity) points:

x = 2, x = - 2

Combine real regions and undefined points for final function domain

x < - 2 or x > 2

3 5 - 3 5 - x

y = \frac{6 x + 5}{4 x - 3}

f (x) = \frac{x + 9}{8 x ^{2} - x - 9}

f (x) = 3 sin (\frac{2 π}{5}) (x + 1) - 2

f (t) = 6 t^{2} + 500 t + 8000

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