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

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

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

domain

e^{x^{2} - 2 x}

x \leq 0 or x \geq 2

Interval Notation

(- \infty, 0] \cup [2, \infty)

Solution steps

Find non-negative values for radicals:

x \leq 0 or x \geq 2

The function domain

x \leq 0 or x \geq 2

f (x) = lo g_{10} (x^{2} + 5 x + 6)

f (x) = ln (7 x - 8)

- 7 x^{2}

y = x^{2} - 2 x - 24

f (x) = 4 e^{x}

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