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

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

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

domain

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

- 5 \leq x < 5

Interval Notation

[- 5, 5)

Solution steps

Find non-negative values for radicals:

- 5 \leq x < 5

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

- 5 \leq x < 5

f (x) = \frac{x + 6}{x ^{2} - 3 x - 18}

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

f (x) = \frac{( x ^{2} + 25 )}{x}

y = 4 x + 3

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

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