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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

domain

f (x) = \frac{2 x}{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 x^{4} + 16 x^{3} - 18 x^{2}

y = 3 tan (9 x - 7) + 3

ln ∣ x - 3 ∣

f (x) = - 2 x + 2 - 3

(3, - 3), (- 9, 2)

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