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

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

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

domain

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

- 5 \leq x < - 1 or x > - 1

Interval Notation

[- 5, - 1) \cup (- 1, \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

- 5 \leq x < - 1 or x > - 1

\frac{3 x - 7}{x + 9}

f (x) = \frac{5 x}{8 - x}

\frac{x}{8 x - 5}

3 x - 12

3 x - 17

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