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

The domain of sqrt(-x)+1/(sqrt(2+x)) is -2<x<= 0

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

domain

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

- 2 < x \leq 0

Interval Notation

(- 2, 0]

Solution steps

Find non-negative values for radicals:

- 2 \leq x \leq 0

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

- 2 < x \leq 0

f (x) = x (x - 5)

f (x) = \frac{2 x + 1}{2 x - 5}

3 x + 3 + 4

ln (x^{2} - 16)

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

What is the domain of sqrt(-x)+1/(sqrt(2+x)) ?
The domain of sqrt(-x)+1/(sqrt(2+x)) is -2<x<= 0