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

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

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

domain

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

x \leq - 3 or x \geq 0

Interval Notation

(- \infty, - 3] \cup [0, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 3 or x \geq 0

The function domain

x \leq - 3 or x \geq 0

f (x) = 121 - t^{2}

f (x) = - 2 x + 18

f (x) = \frac{x}{x ^{2} + 8 x + 12}

f (x) = - 2 x + 20

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