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

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

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

domain

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

y = cos (x)

f (x) = 2^{x} + 5

sin (2 arcsin (- \frac{x}{a}))

x^{3} - 4

f (x) = x + \frac{49}{x}

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