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

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

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

domain

f (x) = 2 - 2 - x

- 2 \leq x \leq 2

Interval Notation

[- 2, 2]

Solution steps

Find non-negative values for radicals:

- 2 \leq x \leq 2

The function domain

- 2 \leq x \leq 2

f (x) = ln (11 - 7 x)

2 x - 8

f (x) = ln (x^{2} - 3 x - 4)

f (x) = \frac{6}{x ( x + 9 )}

f (x) = \frac{x + 3}{4 - x ^{2} - 25}

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