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

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

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

domain

- 2 < x < 2

Interval Notation

(- 2, 2)

Solution steps

Find non-negative values for radicals:

- 2 \leq x \leq 2

Find undefined (singularity) points:

x = 2, x = - 2

Combine real regions and undefined points for final function domain

- 2 < x < 2

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

f (x) = \frac{3 x + 2}{2 x + 5}

- 5 x - 2 y = - 10

f (x) = \frac{x + \frac{1}{x} + 20}{x + \frac{1}{x} + 2}

y = x^{2} - 10 x + 25

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