What is the domain of f(x)=sqrt((x-1)/(x+7)) ?

The domain of f(x)=sqrt((x-1)/(x+7)) is x = 1

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domain of f(x)=sqrt((x-1)/(x+7))

domain

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

x < - 7 or x \geq 1

Interval Notation

(- \infty, - 7) \cup [1, \infty)

Solution steps

Find non-negative values for radicals:

x < - 7 or x \geq 1

Find undefined (singularity) points:

x = - 7

Combine real regions and undefined points for final function domain

x < - 7 or x \geq 1

- arcsin (t)

f (x) = 4 x + 36

\frac{4}{x - 7}

\frac{1}{ln ( ln ( x ) ) - 1}

\frac{( - 3 + - 4 x + 1 )}{2}

What is the domain of f(x)=sqrt((x-1)/(x+7)) ?
The domain of f(x)=sqrt((x-1)/(x+7)) is x<-7\lor x>= 1