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

The domain of f(x)=(5x+x^2)/(x^2+x^3-x+1) is x -1.83928…

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

domain

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

x < - 1.83928 \dots or x > - 1.83928 \dots

Interval Notation

(- \infty, - 1.83928 \dots) \cup (- 1.83928 \dots, \infty)

Solution steps

Find undefined (singularity) points:

x = - 1.83928 \dots

The function domain

x < - 1.83928 \dots or x > - 1.83928 \dots

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

\frac{1}{x ^{2} + 10}

\frac{1}{2 x ^{2} + 1}

f (x) = \frac{x ^{2} + 7 x + 13}{x + 4}

f (x) = x^{5} - 2 x^{3} - x

What is the domain of f(x)=(5x+x^2)/(x^2+x^3-x+1) ?
The domain of f(x)=(5x+x^2)/(x^2+x^3-x+1) is x<-1.83928…\lor x>-1.83928…