What is the domain of x/(sqrt(4-x^2)) ?

The domain of x/(sqrt(4-x^2)) is -2<x<2

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domain of x/(sqrt(4-x^2))

domain

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

- 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

v (x) = 30 - 6 x

x^{2} - x

\frac{ln ( x )}{ln ( x - 1 )}

y = lo g_{x} (36 - x^{2})

6 x