What is the domain of f(x)=sqrt((x-1)/(x+5)) ?

The domain of f(x)=sqrt((x-1)/(x+5)) is x = 1

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domain of f(x)=sqrt((x-1)/(x+5))

domain

f (x) = \frac{x - 1}{x + 5}

x < - 5 or x \geq 1

Interval Notation

(- \infty, - 5) \cup [1, \infty)

Solution steps

Find non-negative values for radicals:

x < - 5 or x \geq 1

Find undefined (singularity) points:

x = - 5

Combine real regions and undefined points for final function domain

x < - 5 or x \geq 1

f (x) = 4 - 6 x

\frac{x}{x ^{2} + 13}

f (x) = 2 (x - 2)^{3}

y = 3 x - 4

f (x) = 17 + 1.5 x

What is the domain of f(x)=sqrt((x-1)/(x+5)) ?
The domain of f(x)=sqrt((x-1)/(x+5)) is x<-5\lor x>= 1