What is the domain of f(x)=sqrt((5-x)/(x+8)) ?

The domain of f(x)=sqrt((5-x)/(x+8)) is -8<x<= 5

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domain of f(x)=sqrt((5-x)/(x+8))

domain

f (x) = \frac{5 - x}{x + 8}

- 8 < x \leq 5

Interval Notation

(- 8, 5]

Solution steps

Find non-negative values for radicals:

- 8 < x \leq 5

Find undefined (singularity) points:

x = - 8

Combine real regions and undefined points for final function domain

- 8 < x \leq 5

f (x) = 1 - sin (x)

x^{2} - 3 x - 4

f (x) = 1 + ln (x)

- \frac{1}{2} x - 3

f (x) = 2 x^{2} + 5 x - 3

What is the domain of f(x)=sqrt((5-x)/(x+8)) ?
The domain of f(x)=sqrt((5-x)/(x+8)) is -8<x<= 5