What is the domain of f(x)=(x^3+7x^2-x)/(x^2+1) ?

The domain of f(x)=(x^3+7x^2-x)/(x^2+1) is -infinity <x<infinity

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domain of f(x)=(x^3+7x^2-x)/(x^2+1)

domain

f (x) = \frac{x ^{3} + 7 x ^{2} - x}{x ^{2} + 1}

- \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

\frac{x ^{\frac{3}{4}}}{x}

f (x) = lo g_{10} (x)

\frac{3}{20} x^{5} - 2 x^{4} + 8 x^{3}

\frac{( e ^{(m x)} + 1 )}{e ^{x}}

(2, 4), (4, 10)

What is the domain of f(x)=(x^3+7x^2-x)/(x^2+1) ?
The domain of f(x)=(x^3+7x^2-x)/(x^2+1) is -infinity <x<infinity