What is the domain of (x^2-2x)/(6x)-(3x^2-15x)/(6x) ?

The domain of (x^2-2x)/(6x)-(3x^2-15x)/(6x) is x 0

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domain of (x^2-2x)/(6x)-(3x^2-15x)/(6x)

domain

\frac{x ^{2} - 2 x}{6 x} - \frac{3 x ^{2} - 15 x}{6 x}

x < 0 or x > 0

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

(7 x - 2 x^{2} + 3) (x^{2} + 3)

f (x) = \frac{x - 1}{x ^{2} - 6 x + 8}

f (x) = \frac{1}{t + 8}

f (x) = \frac{x ^{3} + 3}{4 x}

ln (- 3 x)

What is the domain of (x^2-2x)/(6x)-(3x^2-15x)/(6x) ?
The domain of (x^2-2x)/(6x)-(3x^2-15x)/(6x) is x<0\lor x>0