What is the domain of (x+5)/(x^2-11) ?

The domain of (x+5)/(x^2-11) is x sqrt(11)

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domain of (x+5)/(x^2-11)

domain

\frac{x + 5}{x ^{2} - 11}

x < - 11 or - 11 < x < 11 or x > 11

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 11, x = - 11

The function domain

x < - 11 or - 11 < x < 11 or x > 11

What is the domain of (x+5)/(x^2-11) ?
The domain of (x+5)/(x^2-11) is x<-sqrt(11)\lor-sqrt(11)<x<sqrt(11)\lor x>sqrt(11)