What is the domain of f(x)=(sqrt(x+4))/x ?

The domain of f(x)=(sqrt(x+4))/x is -4 0

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domain of f(x)=(sqrt(x+4))/x

domain

f (x) = \frac{x + 4}{x}

- 4 \leq x < 0 or x > 0

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq - 4

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

- 4 \leq x < 0 or x > 0

\frac{1}{2} ln (\frac{1 + x}{1 - x})

f (x) = 48 - 8 x

f (x) = (x - 1)^{2} + 3

\frac{x}{( x + 1 ) ^{2}}

f (x) = \frac{x ^{2} - x - 6}{x - 3}

What is the domain of f(x)=(sqrt(x+4))/x ?
The domain of f(x)=(sqrt(x+4))/x is -4<= x<0\lor x>0