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

The domain of f(x)=sqrt(\sqrt{x-2)-2} is x>= 6

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domain of f(x)=sqrt(\sqrt{x-2)-2}

domain

f (x) = x - 2 - 2

x \geq 6

Interval Notation

[6, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 6

The function domain

x \geq 6

4 (x + 5)^{2} - 1

f (x) = x + x + 3

f (x) = (4 x^{5} + 1)^{\frac{1}{9}}

f (x) = (7 x + 14)^{\frac{1}{2}}

9 x^{3} - 54 x^{2} + 81 x + 13

What is the domain of f(x)=sqrt(\sqrt{x-2)-2} ?
The domain of f(x)=sqrt(\sqrt{x-2)-2} is x>= 6