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

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

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

domain

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

f (x) = (x - 13) x^{2} + 4 x

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

f (x) = 1 - 1 - x

\frac{x ^{2} - 64}{5 x - 1}

- \frac{2}{3} sin (\frac{1}{3}) (y - \frac{3 π}{4}) + 2

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