What is the domain of (sqrt(x^2+6))/(5x) ?

The domain of (sqrt(x^2+6))/(5x) is x 0

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domain of (sqrt(x^2+6))/(5x)

domain

\frac{x ^{2} + 6}{5 x}

x < 0 or x > 0

Interval Notation

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

Solution steps

Find non-negative values for radicals:

- \infty < x < \infty

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0 or x > 0

\frac{x ^{2} - 1}{x ^{2} + 5}

2 - 6 - x - x^{2}

5 x^{3} - 17 x^{2} + 6 x

∣ x - 1 ∣ + ∣ x - 2 ∣

f (x) = \frac{3 x + 1}{2 x + 1}

What is the domain of (sqrt(x^2+6))/(5x) ?
The domain of (sqrt(x^2+6))/(5x) is x<0\lor x>0