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

The domain of sqrt(x^2-1) is x = 1

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domain of sqrt(x^2-1)

domain

x^{2} - 1

x \leq - 1 or x \geq 1

Interval Notation

(- \infty, - 1] \cup [1, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 1 or x \geq 1

The function domain

x \leq - 1 or x \geq 1

f (x) = x^{2} - 7 x + 10

f (x) = 4 x^{3} - 2

f (x) = 7 + (8 + x)^{\frac{1}{2}}

f (x) = x^{3} - 12 x + 13

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