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

The domain of f(x)=(x^3-x)/(1+x^2) is -infinity <x<infinity

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

domain

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

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < x < \infty

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

5 x^{2} - 5 x

f (x) = 6 x - 5

f (x) = \frac{x ^{3}}{3} - 3 x^{2} - 7 x

\frac{5}{x} + 4

What is the domain of f(x)=(x^3-x)/(1+x^2) ?
The domain of f(x)=(x^3-x)/(1+x^2) is -infinity <x<infinity