What is the domain of (x^4+3x^2+1)/(x(x^2+1)) ?

The domain of (x^4+3x^2+1)/(x(x^2+1)) is x 0

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domain of (x^4+3x^2+1)/(x(x^2+1))

domain

\frac{x ^{4} + 3 x ^{2} + 1}{x ( x ^{2} + 1 )}

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

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

- x + 3 - 2

(x + 2)^{2}

f (x) = x^{2} + 11

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

What is the domain of (x^4+3x^2+1)/(x(x^2+1)) ?
The domain of (x^4+3x^2+1)/(x(x^2+1)) is x<0\lor x>0