What is the domain of f(x)=(sqrt(3-x))/(sqrt(x+5)) ?

The domain of f(x)=(sqrt(3-x))/(sqrt(x+5)) is -5<x<= 3

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domain of f(x)=(sqrt(3-x))/(sqrt(x+5))

domain

f (x) = \frac{3 - x}{x + 5}

- 5 < x \leq 3

Interval Notation

Solution steps

Find non-negative values for radicals:

- 5 \leq x \leq 3

Find undefined (singularity) points:

x = - 5

Combine real regions and undefined points for final function domain

- 5 < x \leq 3

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

\frac{2 x + 7}{x + 2}

f (x) = \frac{5}{x - 4} + x^{2} - 9

f (x) = x^{2} - 4, x \leq - 2

\frac{4 - s ^{2}}{2 s ^{2} - 7 s - 4}

What is the domain of f(x)=(sqrt(3-x))/(sqrt(x+5)) ?
The domain of f(x)=(sqrt(3-x))/(sqrt(x+5)) is -5<x<= 3