What is the domain of (x^3+5x^2+1)/(x^4+x^3-x^2+2) ?

The domain of (x^3+5x^2+1)/(x^4+x^3-x^2+2) is -infinity <x<infinity

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domain of (x^3+5x^2+1)/(x^4+x^3-x^2+2)

domain

\frac{x ^{3} + 5 x ^{2} + 1}{x ^{4} + x ^{3} - x ^{2} + 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) = (1 - x) e^{x}

y = \frac{9 x}{x ^{2} + 4 x - 5}

f (x) = \frac{3 x}{8}

f (x) = 5 x^{4} - 30 x^{2}

y = \frac{5 x - 2}{3 + 2 x}

What is the domain of (x^3+5x^2+1)/(x^4+x^3-x^2+2) ?
The domain of (x^3+5x^2+1)/(x^4+x^3-x^2+2) is -infinity <x<infinity