What is the domain of e^{sqrt(x+x^2)} ?

The domain of e^{sqrt(x+x^2)} is x = 0

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domain of e^{sqrt(x+x^2)}

domain

e^{x + x^{2}}

x \leq - 1 or x \geq 0

Interval Notation

(- \infty, - 1] \cup [0, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 1 or x \geq 0

The function domain

x \leq - 1 or x \geq 0

y = \frac{3 x}{x - 2}

f (x) = 4^{3 x - 1}

f (x) = x^{\frac{7}{6}}

3 x - 2 y = 24

\frac{1}{x + 1}

What is the domain of e^{sqrt(x+x^2)} ?
The domain of e^{sqrt(x+x^2)} is x<=-1\lor x>= 0