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

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

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

domain

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

x \leq - 3 or x > 1

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \leq - 3 or x > 1

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

x \leq - 3 or x > 1

f (x) = 1 - t

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

f (x) = lo g_{5} (x - 1)

f (x) = 20

f (x) = 3 t

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