What is the domain of f(x)=sqrt((x-1)/(x+3)) ?

The domain of f(x)=sqrt((x-1)/(x+3)) is x = 1

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domain of f(x)=sqrt((x-1)/(x+3))

domain

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

x < - 3 or x \geq 1

Interval Notation

(- \infty, - 3) \cup [1, \infty)

Solution steps

Find non-negative values for radicals:

x < - 3 or x \geq 1

Find undefined (singularity) points:

x = - 3

Combine real regions and undefined points for final function domain

x < - 3 or x \geq 1

f (x) = 5^{x} - 4

f (x) = \frac{1 - 7 x}{1 + 4 x}

m = - 1, (- 0.5, 1.5)

f (x) = (x - 5)^{\frac{6}{7}}

f (x) = 3 x^{2} + 4 x + 1

What is the domain of f(x)=sqrt((x-1)/(x+3)) ?
The domain of f(x)=sqrt((x-1)/(x+3)) is x<-3\lor x>= 1