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

The domain of f(x)=\sqrt[6]{x^6} is -infinity <x<infinity

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domain of f(x)=\sqrt[6]{x^6}

domain

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

Find non-negative values for radicals:

- \infty < x < \infty

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < x < \infty

\frac{x + 2}{2 x + 1}

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

f (x) = \frac{3 x + 4}{( x + 4 ) ( x + 3 )}

f (x, y) = \frac{1}{x}

\frac{1}{2 x + 2}

What is the domain of f(x)=\sqrt[6]{x^6} ?
The domain of f(x)=\sqrt[6]{x^6} is -infinity <x<infinity