What is the domain of ((1/(sqrt(x))))/(x^2-4) ?

The domain of ((1/(sqrt(x))))/(x^2-4) is 0 2

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domain of ((1/(sqrt(x))))/(x^2-4)

domain

\frac{( \frac{1}{x} )}{x ^{2} - 4}

0 < x < 2 or x > 2

Interval Notation

(0, 2) \cup (2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = 2, x = - 2, x = 0

Combine real regions and undefined points for final function domain

0 < x < 2 or x > 2

f (x) = 4 - 4 x^{2}

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

f (x) = \frac{6 x ^{2} + 1}{x ^{2} + x + 36}

2 sec (\frac{π}{5} x + π)

f (x) = lo g_{e} (\frac{x + 4}{x})

What is the domain of ((1/(sqrt(x))))/(x^2-4) ?
The domain of ((1/(sqrt(x))))/(x^2-4) is 0<x<2\lor x>2