What is the domain of x/(\sqrt[4]{1-x^2)} ?

The domain of x/(\sqrt[4]{1-x^2)} is -1<x<1

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domain of x/(\sqrt[4]{1-x^2)}

domain

\frac{x}{4 1 - x ^{2}}

- 1 < x < 1

Interval Notation

(- 1, 1)

Solution steps

Find non-negative values for radicals:

- 1 \leq x \leq 1

Find undefined (singularity) points:

x = 1, x = - 1

Combine real regions and undefined points for final function domain

- 1 < x < 1

f (x) = \frac{9}{x + 11}

f (x) = \frac{9 x}{4 x - 1}

f (x) = - 0.0625 t^{2} + 3 t - 20

\frac{x + 10}{x ^{2} - 100}

6 - 2 x

What is the domain of x/(\sqrt[4]{1-x^2)} ?
The domain of x/(\sqrt[4]{1-x^2)} is -1<x<1