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

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

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

domain

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

x \geq 1

Interval Notation

Solution steps

Find non-negative values for radicals:

x \geq 1

Find undefined (singularity) points:

x = - 1

Combine real regions and undefined points for final function domain

x \geq 1

f (x) = \frac{4 x ^{2} + 6 x - 2}{4 x - 6}

\frac{x ( x - 5 ) ^{2}}{4}

\frac{2 x}{x ^{2} - 25}

f (x) = lo g_{2} (- x)

f (x) = x^{2} + y^{2} = 81

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