What is the domain of f(x)=(sqrt(x+3))/(x^2) ?

The domain of f(x)=(sqrt(x+3))/(x^2) is -3 0

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domain of f(x)=(sqrt(x+3))/(x^2)

domain

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

- 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

\frac{x ^{2} - 36}{x ^{2} - 1}

f (x) = π

f (x) = \frac{1}{x + 10}

\frac{1}{1.4 x - 9.3 x ^{2}}

f (x) = x^{2} - 2 x - 6

What is the domain of f(x)=(sqrt(x+3))/(x^2) ?
The domain of f(x)=(sqrt(x+3))/(x^2) is -3<= x<0\lor x>0