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

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

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

domain

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

- 3 < x \leq 5

Interval Notation

(- 3, 5]

Solution steps

Find non-negative values for radicals:

- 3 < x \leq 5

Find undefined (singularity) points:

x = - 3

Combine real regions and undefined points for final function domain

- 3 < x \leq 5

y = e (6 x - \frac{1}{6}) + 6

\frac{6}{x - 7}

lo g_{2} (3 - x) + 1

f (x) = \frac{1}{x + 7}

(- 2, 1), (- 4, - 2)

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