What is the domain of sqrt((x-1)/(x+4)) ?

The domain of sqrt((x-1)/(x+4)) is x = 1

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domain of sqrt((x-1)/(x+4))

domain

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

x < - 4 or x \geq 1

Interval Notation

(- \infty, - 4) \cup [1, \infty)

Solution steps

Find non-negative values for radicals:

x < - 4 or x \geq 1

Find undefined (singularity) points:

x = - 4

Combine real regions and undefined points for final function domain

x < - 4 or x \geq 1

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

y = sin (3 x)

f (x) = \frac{1}{3 x}

f (x) = \frac{3 x ^{2}}{x ^{2} - 9}

f (x) = x + 9

What is the domain of sqrt((x-1)/(x+4)) ?
The domain of sqrt((x-1)/(x+4)) is x<-4\lor x>= 1