What is the domain of sqrt((x+4)/(x-3)) ?

The domain of sqrt((x+4)/(x-3)) is x 3

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domain of sqrt((x+4)/(x-3))

domain

\frac{x + 4}{x - 3}

x \leq - 4 or x > 3

Interval Notation

(- \infty, - 4] \cup (3, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 4 or x > 3

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

x \leq - 4 or x > 3

f (x) = x - 1 - 3

y = x^{4} - 2 x^{2}

f (x) = \frac{4 x ^{2}}{x ^{2} + 1}

\frac{x ^{2} - 19 x - 20}{x + 5}

\frac{2 m + 4}{8 m + m ^{2}}

What is the domain of sqrt((x+4)/(x-3)) ?
The domain of sqrt((x+4)/(x-3)) is x<=-4\lor x>3