What is the domain of y=\sqrt[6]{x} ?

The domain of y=\sqrt[6]{x} is x>= 0

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domain of y=\sqrt[6]{x}

domain

x \geq 0

Interval Notation

[0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

The function domain

x \geq 0

f (x) = \frac{10}{1 - \frac{x}{30}}

f (x) = x^{3} - 6 x^{2} + 12 x - 8

(- 1, 0.6), (1, - 3.4)

f (x) = 2 - \frac{x - 1}{x - 3}

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