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

The domain of f(x)=(sqrt(x+5))/x is -5 0

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

domain

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

- 5 \leq x < 0 or x > 0

Interval Notation

[- 5, 0) \cup (0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 5

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

- 5 \leq x < 0 or x > 0

f (x) = 4 csc (x - \frac{π}{6}) + 5

\frac{1}{t + 2} + t + 1 + t

\frac{x ^{2}}{x - 8}

f (x) = \frac{x}{x ^{2} - 5 x}

\frac{8}{5 + x}

What is the domain of f(x)=(sqrt(x+5))/x ?
The domain of f(x)=(sqrt(x+5))/x is -5<= x<0\lor x>0