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

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

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domain of f(x)=xsqrt(x^2-2)

domain

f (x) = 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

f (x) = - lo g_{3} (x)

f (x) = cosh (x)

f (x) = lo g_{3} (x + 5)

f (x) = 4 + x - 2

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