What is the domain of xsqrt(x^2-2) ?

The domain of xsqrt(x^2-2) is x = sqrt(2)

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domain of xsqrt(x^2-2)

domain

x x^{2} - 2

x \leq - 2 or x \geq 2

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \leq - 2 or x \geq 2

The function domain

x \leq - 2 or x \geq 2

2 x^{2} - 7 x + 3

f (x) = \frac{9}{2 + x}

\frac{2 x - 9}{3 x ^{2} - 75}

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

f (x) = \frac{1}{2.1 x - 6 x ^{2}}

What is the domain of xsqrt(x^2-2) ?
The domain of xsqrt(x^2-2) is x<=-sqrt(2)\lor x>= sqrt(2)