What is the domain of y=(-3x)/(sqrt(x^2-9x)) ?

The domain of y=(-3x)/(sqrt(x^2-9x)) is x 9

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domain of y=(-3x)/(sqrt(x^2-9x))

domain

y = \frac{- 3 x}{x ^{2} - 9 x}

x < 0 or x > 9

Interval Notation

(- \infty, 0) \cup (9, \infty)

Solution steps

Find non-negative values for radicals:

x \leq 0 or x \geq 9

Find undefined (singularity) points:

x = 9, x = 0

Combine real regions and undefined points for final function domain

x < 0 or x > 9

lo g_{10} (- x - 19)

\frac{t ^{2} - t - 20}{t ^{2} + 7 t + 10}

\frac{r}{4}

f (x) = ln (5 x - 8)

What is the domain of y=(-3x)/(sqrt(x^2-9x)) ?
The domain of y=(-3x)/(sqrt(x^2-9x)) is x<0\lor x>9