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 121

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

domain

f (x) = \frac{x + 2}{x ^{2} - 121}

x < - 121 or - 121 < x < 121 or x > 121

Interval Notation

(- \infty, - 121) \cup (- 121, 121) \cup (121, \infty)

Solution steps

Find non-negative values for radicals:

- \infty < x < \infty

Find undefined (singularity) points:

x = 121, x = - 121

Combine real regions and undefined points for final function domain

x < - 121 or - 121 < x < 121 or x > 121

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f (x) = \frac{1 + x ^{2}}{x ^{2}}

\frac{x - 9}{x ^{2} - 1}

\frac{x ^{2} + 2 x - 24}{x ^{2} - 2 x - 8}

f (x) = \frac{x ^{2}}{7 - x}

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<-121\lor-121<x<121\lor x>121