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

The domain of f(x)=sqrt(x/(x+5)) is x = 0

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

domain

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

x < - 5 or x \geq 0

Interval Notation

(- \infty, - 5) \cup [0, \infty)

Solution steps

Find non-negative values for radicals:

x < - 5 or x \geq 0

Find undefined (singularity) points:

x = - 5

Combine real regions and undefined points for final function domain

x < - 5 or x \geq 0

\frac{4}{2 x ^{2} - 3}

lo g_{10} (2 x^{2} - 5 x + 3)

1 + 8^{- x}

y = 2 (2)^{x + 4} - 1

y = ∣ x ∣

What is the domain of f(x)=sqrt(x/(x+5)) ?
The domain of f(x)=sqrt(x/(x+5)) is x<-5\lor x>= 0