What is the domain of (sqrt(3-x))/(sqrt(x+2)) ?

The domain of (sqrt(3-x))/(sqrt(x+2)) is -2<x<= 3

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domain of (sqrt(3-x))/(sqrt(x+2))

domain

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

- 2 < x \leq 3

Interval Notation

(- 2, 3]

Solution steps

Find non-negative values for radicals:

- 2 \leq x \leq 3

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

- 2 < x \leq 3

f (x) = \frac{( x + 1 )}{x ^{2} + 4}

f (x) = 2 x^{2} - 8 x + 3

x - y = - 5

\frac{1}{x}

f (x) = \frac{9 - t ^{2}}{3 - t}

What is the domain of (sqrt(3-x))/(sqrt(x+2)) ?
The domain of (sqrt(3-x))/(sqrt(x+2)) is -2<x<= 3