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

The domain of f(x)=sqrt(1-\sqrt{1-x)} is 0<= x<= 1

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domain of f(x)=sqrt(1-\sqrt{1-x)}

domain

f (x) = 1 - 1 - x

0 \leq x \leq 1

Interval Notation

[0, 1]

Solution steps

Find non-negative values for radicals:

0 \leq x \leq 1

The function domain

0 \leq x \leq 1

\frac{1}{3} x^{3} + 2 x^{2} - 1

- x^{2} - 2 x + 3

f (x) = 3 x^{3}

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

(- 3.6) (0.9)

What is the domain of f(x)=sqrt(1-\sqrt{1-x)} ?
The domain of f(x)=sqrt(1-\sqrt{1-x)} is 0<= x<= 1