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

The domain of f(x)=sqrt(\sqrt{x-6)-6} is x>= 42

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domain of f(x)=sqrt(\sqrt{x-6)-6}

domain

f (x) = x - 6 - 6

x \geq 42

Interval Notation

[42, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 42

The function domain

x \geq 42

(- 2, - 4), (4, 6)

f (x) = 1 - 5^{t}

f (x) = (6 - x)^{\frac{1}{8}}

f (x) = - (x + 1)^{2} + 4

sin (2 x)

What is the domain of f(x)=sqrt(\sqrt{x-6)-6} ?
The domain of f(x)=sqrt(\sqrt{x-6)-6} is x>= 42