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 < x \leq 2

Interval Notation

(- 2, 2]

Solution steps

Find non-negative values for radicals:

- 2 < x \leq 2

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

- 2 < x \leq 2

∣ x ∣ + x + 2

y = lo g_{10} (6 + 6 x)

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

ln (x + 1) - 1

1 - (x^{2} - 1)^{2}

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