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

The domain of f(x)=sqrt(6-\sqrt{6-x)} is -30<= x<= 6

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

domain

f (x) = 6 - 6 - x

- 30 \leq x \leq 6

Interval Notation

[- 30, 6]

Solution steps

Find non-negative values for radicals:

- 30 \leq x \leq 6

The function domain

- 30 \leq x \leq 6

f (x) = 2 x^{5} + 1

x^{3} + x^{2} - 9 x - 9

f (x) = \frac{2}{x + 5}

(x^{2} + 1) (x - 1)

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

What is the domain of f(x)=sqrt(6-\sqrt{6-x)} ?
The domain of f(x)=sqrt(6-\sqrt{6-x)} is -30<= x<= 6