What is the domain of sqrt((x^2+30x-99)/(x-3)) ?

The domain of sqrt((x^2+30x-99)/(x-3)) is -33 3

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domain of sqrt((x^2+30x-99)/(x-3))

domain

\frac{x ^{2} + 30 x - 99}{x - 3}

- 33 \leq x < 3 or x > 3

Solution steps

Find non-negative values for radicals:

- 33 \leq x < 3 or x > 3

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

- 33 \leq x < 3 or x > 3

f (x) = e

f (x) = lo g_{3} (lo g_{2} (x))

f (x) = ln (\frac{x}{x ^{2} + 1})

f (x) = ln (4 x - 5)

\frac{x + 2}{x ^{2} - 121}

What is the domain of sqrt((x^2+30x-99)/(x-3)) ?
The domain of sqrt((x^2+30x-99)/(x-3)) is -33<= x<3\lor x>3