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

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

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

domain

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

x < 3

Interval Notation

(- \infty, 3)

Solution steps

Find non-negative values for radicals:

x < 3

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

x < 3

f (x) = 0. 3^{x}

f (x) = \frac{1}{36 - t}

\frac{t}{∣ t ∣}

f (x) = x^{3} + 6 x^{2} - 15 x

x + 2 - 6

What is the domain of sqrt(1-(x+2)/(x-3)) ?
The domain of sqrt(1-(x+2)/(x-3)) is x<3