What is the domain of f(x)=2+sqrt((x^3)/(x+5)) ?

The domain of f(x)=2+sqrt((x^3)/(x+5)) is x = 0

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domain of f(x)=2+sqrt((x^3)/(x+5))

domain

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

f (x) = \frac{1}{3}

y = \frac{- 3}{7} x + 4, (9, 8)

y = \frac{2}{3} x

2 + 4^{x - 2}

y = - x + 2

What is the domain of f(x)=2+sqrt((x^3)/(x+5)) ?
The domain of f(x)=2+sqrt((x^3)/(x+5)) is x<-5\lor x>= 0