What is the domain of f(x)= 5/(sqrt(x^2-4)) ?

The domain of f(x)= 5/(sqrt(x^2-4)) is x 2

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domain of f(x)= 5/(sqrt(x^2-4))

domain

f (x) = \frac{5}{x ^{2} - 4}

x < - 2 or x > 2

Interval Notation

(- \infty, - 2) \cup (2, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 2 or x \geq 2

Find undefined (singularity) points:

x = 2, x = - 2

Combine real regions and undefined points for final function domain

x < - 2 or x > 2

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

f (x) = 2 ln (1 + x^{2})

f (x) = \frac{x ^{2} - 9}{x ^{2} - 2 x - 3}

2 lo g_{7} (x - 12)

\frac{2 x + 3}{1 - 5 x}

What is the domain of f(x)= 5/(sqrt(x^2-4)) ?
The domain of f(x)= 5/(sqrt(x^2-4)) is x<-2\lor x>2