What is the domain of sqrt(x^2-100) ?

The domain of sqrt(x^2-100) is x = 10

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domain of sqrt(x^2-100)

domain

x^{2} - 100

x \leq - 10 or x \geq 10

Interval Notation

(- \infty, - 10] \cup [10, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 10 or x \geq 10

The function domain

x \leq - 10 or x \geq 10

f (x) = \frac{- 4}{x} + 1

\frac{3}{x - 2} + 4

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

36 x^{2} - 2 x^{3}

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

What is the domain of sqrt(x^2-100) ?
The domain of sqrt(x^2-100) is x<=-10\lor x>= 10