What is the domain of y=(x+2)/(sqrt(x^2-121)) ?

The domain of y=(x+2)/(sqrt(x^2-121)) is x 11

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

domain of y=(x+2)/(sqrt(x^2-121))

domain

y = \frac{x + 2}{x ^{2} - 121}

x < - 11 or x > 11

Interval Notation

(- \infty, - 11) \cup (11, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 11 or x \geq 11

Find undefined (singularity) points:

x = 11, x = - 11

Combine real regions and undefined points for final function domain

x < - 11 or x > 11

\frac{1}{4 x ^{2} - 4 x - 3}

f (x) = 2^{t}

f (x) = ln (\frac{x}{x - 3})

\frac{3}{a - 6}

4 sin^{2} (x)

What is the domain of y=(x+2)/(sqrt(x^2-121)) ?
The domain of y=(x+2)/(sqrt(x^2-121)) is x<-11\lor x>11