What is the domain of f(x)=(11x-5)/(\sqrt[4]{4-x^2)} ?

The domain of f(x)=(11x-5)/(\sqrt[4]{4-x^2)} is -2<x<2

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domain of f(x)=(11x-5)/(\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

What is the domain of f(x)=(11x-5)/(\sqrt[4]{4-x^2)} ?
The domain of f(x)=(11x-5)/(\sqrt[4]{4-x^2)} is -2<x<2