What is the domain of f(x)=(sqrt(x-1))/(x+5) ?

The domain of f(x)=(sqrt(x-1))/(x+5) is x>= 1

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domain of f(x)=(sqrt(x-1))/(x+5)

domain

f (x) = \frac{x - 1}{x + 5}

x \geq 1

Interval Notation

[1, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 1

Find undefined (singularity) points:

x = - 5

Combine real regions and undefined points for final function domain

x \geq 1

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

f (x) = x - 1 - 3

y = x^{4} - 2 x^{2}

f (x) = \frac{4 x ^{2}}{x ^{2} + 1}

\frac{x ^{2} - 19 x - 20}{x + 5}

What is the domain of f(x)=(sqrt(x-1))/(x+5) ?
The domain of f(x)=(sqrt(x-1))/(x+5) is x>= 1