What is the domain of 1/(sqrt(x^2-3x)) ?

The domain of 1/(sqrt(x^2-3x)) is x 3

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domain of 1/(sqrt(x^2-3x))

domain

\frac{1}{x ^{2} - 3 x}

x < 0 or x > 3

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \leq 0 or x \geq 3

Find undefined (singularity) points:

x = 3, x = 0

Combine real regions and undefined points for final function domain

x < 0 or x > 3

What is the domain of 1/(sqrt(x^2-3x)) ?
The domain of 1/(sqrt(x^2-3x)) is x<0\lor x>3