What is the domain of f(x)=sqrt((2+x)/(2-x)) ?

The domain of f(x)=sqrt((2+x)/(2-x)) is -2<= x<2

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domain of f(x)=sqrt((2+x)/(2-x))

domain

f (x) = \frac{2 + x}{2 - x}

- 2 \leq x < 2

Interval Notation

[- 2, 2)

Solution steps

Find non-negative values for radicals:

- 2 \leq x < 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

- 2 \leq x < 2

7 x^{2} - 9 x - 5

sin (\frac{2}{x})

\frac{3 x - 3}{2 x - 2}

f (x) = \frac{3 x - 7}{x + 1}

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

What is the domain of f(x)=sqrt((2+x)/(2-x)) ?
The domain of f(x)=sqrt((2+x)/(2-x)) is -2<= x<2