What is the domain of sqrt((x+5)/(2x-4)) ?

The domain of sqrt((x+5)/(2x-4)) is x 2

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domain of sqrt((x+5)/(2x-4))

domain

\frac{x + 5}{2 x - 4}

x \leq - 5 or x > 2

Interval Notation

(- \infty, - 5] \cup (2, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 5 or x > 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

x \leq - 5 or x > 2

f (x) = \frac{3 x}{x ^{2} - 121}

\frac{6 x - 25}{- 5 x + 41}

f (x) = 4^{x} + 3

18 x

f (x) = \frac{x - 2}{x - 4}

What is the domain of sqrt((x+5)/(2x-4)) ?
The domain of sqrt((x+5)/(2x-4)) is x<=-5\lor x>2