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

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

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

domain

\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) = \frac{100}{x ^{2}}

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

f (x) = \frac{1}{9 x ^{3}}

f (x) = \frac{5}{2}

y = 5 x^{2}

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