What is the domain of f(x)=(sqrt(x+6))/(x^2) ?

The domain of f(x)=(sqrt(x+6))/(x^2) is -6 0

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domain of f(x)=(sqrt(x+6))/(x^2)

domain

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

- 6 \leq x < 0 or x > 0

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq - 6

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

- 6 \leq x < 0 or x > 0

6 x + 2 y = 12

\frac{x ^{2} + x}{x ^{2}}

y = x^{2} - 5

f (x) = \frac{1}{x ^{3} - x ^{2} - 6 x}

x^{2} + 3 x - 4

What is the domain of f(x)=(sqrt(x+6))/(x^2) ?
The domain of f(x)=(sqrt(x+6))/(x^2) is -6<= x<0\lor x>0