What is the domain of f(x)= 9/(sqrt(x^2-144)) ?

The domain of f(x)= 9/(sqrt(x^2-144)) is x 12

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domain of f(x)= 9/(sqrt(x^2-144))

domain

f (x) = \frac{9}{x ^{2} - 144}

x < - 12 or x > 12

Interval Notation

(- \infty, - 12) \cup (12, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 12 or x \geq 12

Find undefined (singularity) points:

x = 12, x = - 12

Combine real regions and undefined points for final function domain

x < - 12 or x > 12

What is the domain of f(x)= 9/(sqrt(x^2-144)) ?
The domain of f(x)= 9/(sqrt(x^2-144)) is x<-12\lor x>12