What is the domain of f(x)= 1/(sqrt(x^2-25)) ?

The domain of f(x)= 1/(sqrt(x^2-25)) is x 5

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domain of f(x)= 1/(sqrt(x^2-25))

domain

f (x) = \frac{1}{x ^{2} - 25}

x < - 5 or x > 5

Interval Notation

(- \infty, - 5) \cup (5, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 5 or x \geq 5

Find undefined (singularity) points:

x = 5, x = - 5

Combine real regions and undefined points for final function domain

x < - 5 or x > 5

What is the domain of f(x)= 1/(sqrt(x^2-25)) ?
The domain of f(x)= 1/(sqrt(x^2-25)) is x<-5\lor x>5