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

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

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

domain

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

x \geq 5

Interval Notation

[5, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 5

Find undefined (singularity) points:

x = - 1

Combine real regions and undefined points for final function domain

x \geq 5

sy mm e t ry - 0.1 x^{2} + 0.7 x + 6

in f l ec t i o n f (x) = - 3 x^{4} + 18 x^{2}

d o main f (t) = \frac{56}{( t + 7 ) ^{2}}

d o main \frac{x + 1}{x ^{2} - 4 x - 12}

d o main f (x) = ln (x^{2} - 2 x)

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