What is the domain of sqrt(\sqrt{x-1)-2} ?

The domain of sqrt(\sqrt{x-1)-2} is x>= 5

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domain of sqrt(\sqrt{x-1)-2}

domain

x - 1 - 2

x \geq 5

Interval Notation

[5, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 5

The function domain

x \geq 5

f (x) = \frac{( x - 7 ) ^{7}}{7}

f (x) = x^{\frac{5}{3}} - 5 x^{\frac{2}{3}}

3 + 2 x - 1

\frac{x ^{2} - 1}{x}

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

What is the domain of sqrt(\sqrt{x-1)-2} ?
The domain of sqrt(\sqrt{x-1)-2} is x>= 5