What is the domain of f(x)= 5/(sqrt(x^2-25)) ?

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

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

domain

f (x) = \frac{5}{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

f (x) = \frac{8}{2 x - 6}

\frac{x ^{2} - 9 x + 14}{x ^{2} - 5 x + 6}

g (x) = x + 6

ln (x^{2} - 2 x)

f (x) = 5 - 3 x + \frac{x + 1}{4 x - 8}

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