What is the domain of f(x)=(8/x)(sqrt(x+3)) ?

The domain of f(x)=(8/x)(sqrt(x+3)) is -3 0

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domain of f(x)=(8/x)(sqrt(x+3))

domain

f (x) = (\frac{8}{x}) (x + 3)

- 3 \leq x < 0 or x > 0

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq - 3

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

- 3 \leq x < 0 or x > 0

f (x) = x^{2} + 9 x + 4

\frac{2 x}{5 ( x ^{2} ) ^{\frac{4}{5}}}

f (x) = \frac{1}{5 + e ^{3 x}}

\frac{6 x + 7}{5 x - 6}

X + ln (X^{2} - 1)

What is the domain of f(x)=(8/x)(sqrt(x+3)) ?
The domain of f(x)=(8/x)(sqrt(x+3)) is -3<= x<0\lor x>0