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

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

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

domain

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

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

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