What is the FUNCTION_MANY#domain of (x^{10}+x^{10}+x^{10})/(x^{10)},x\ne 0 ?

The FUNCTION_MANY#domain of (x^{10}+x^{10}+x^{10})/(x^{10)},x\ne 0 is x 0

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FUNCTION_MANY#domain of (x^{10}+x^{10}+x^{10})/(x^{10)},x\ne 0

domain

\frac{x ^{10} + x ^{10} + x ^{10}}{x ^{10}}, x \neq = 0

x < 0 or x > 0

Interval Notation

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

Solution steps

Set the domain to the given interval

x < 0 or x > 0

Find undefined (singularity) points:

No real undefined points

Join undefined points with the domain:

(x < 0 or x > 0) and (x < 0 or x > 0)

x < 0 or x > 0

What is the FUNCTION_MANY#domain of (x^{10}+x^{10}+x^{10})/(x^{10)},x\ne 0 ?
The FUNCTION_MANY#domain of (x^{10}+x^{10}+x^{10})/(x^{10)},x\ne 0 is x<0\lor x>0