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

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

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

domain

f (x) = \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) = - 3 + 3 x^{3}

f (x) = 4 - t

\frac{4 - x}{3 - x}

\frac{cot ( 4 x π )}{cos ( \frac{7}{8} )}

x^{3} - 3 x^{2} - x + 4

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