What is the domain of f(x)=sqrt((\sqrt{x-5))-5} ?

The domain of f(x)=sqrt((\sqrt{x-5))-5} is x>= 30

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domain of f(x)=sqrt((\sqrt{x-5))-5}

domain

f (x) = (x - 5) - 5

x \geq 30

Interval Notation

[30, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 30

The function domain

x \geq 30

f (x) = 6 x

f (x) = \frac{x ^{2} - 81}{x + 9}

f (x) = 9 x - 4

g (x) = x

\frac{8 x}{x + 5}

What is the domain of f(x)=sqrt((\sqrt{x-5))-5} ?
The domain of f(x)=sqrt((\sqrt{x-5))-5} is x>= 30