What is the domain of f(x)= 1/(xsqrt(x^2+2)) ?

The domain of f(x)= 1/(xsqrt(x^2+2)) is x 0

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domain of f(x)= 1/(xsqrt(x^2+2))

domain

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

x < 0 or x > 0

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

Find non-negative values for radicals:

- \infty < x < \infty

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0 or x > 0

What is the domain of f(x)= 1/(xsqrt(x^2+2)) ?
The domain of f(x)= 1/(xsqrt(x^2+2)) is x<0\lor x>0