What is the domain of sqrt((1-x)/(2+x)) ?

The domain of sqrt((1-x)/(2+x)) is -2<x<= 1

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domain of sqrt((1-x)/(2+x))

domain

\frac{1 - x}{2 + x}

- 2 < x \leq 1

Interval Notation

(- 2, 1]

Solution steps

Find non-negative values for radicals:

- 2 < x \leq 1

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

- 2 < x \leq 1

f (x) = x^{2} - 6 x + 5

f (x) = \frac{( 5 x + 9 )}{8 x}

\frac{6 x}{7} \frac{4 x}{3}

f (x) = x e^{3 x}

(1, 5), (3, 6)

What is the domain of sqrt((1-x)/(2+x)) ?
The domain of sqrt((1-x)/(2+x)) is -2<x<= 1