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

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

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

domain

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

x \leq - 3 or x > 4

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \leq - 3 or x > 4

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

x \leq - 3 or x > 4

\frac{2 x + 1}{2 x - 4}

f (x) = tan (x) \frac{π}{2}

f (x) = \frac{1}{x ^{2} + 2 x - 35}

4 x + 4

f (x) = \frac{1}{3 x ^{2} + 17 x - 6}

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