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

The domain of f(x)=sqrt(5-\sqrt{5-x)} is -20<= x<= 5

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

domain

f (x) = 5 - 5 - x

- 20 \leq x \leq 5

Interval Notation

[- 20, 5]

Solution steps

Find non-negative values for radicals:

- 20 \leq x \leq 5

The function domain

- 20 \leq x \leq 5

\frac{x - 1}{x ^{2} + 5 x + 6}

\frac{3}{8} x + 13

\frac{x}{- 6 x + 49}

f (x) = 3 - 9 x^{3} + x

- (\frac{1}{3})^{x} - 3

What is the domain of f(x)=sqrt(5-\sqrt{5-x)} ?
The domain of f(x)=sqrt(5-\sqrt{5-x)} is -20<= x<= 5