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

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

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

domain

f (x) = \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

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