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

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

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

domain

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

x \leq - 1 or x > 0

Interval Notation

(- \infty, - 1] \cup (0, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 1 or x > 0

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x \leq - 1 or x > 0

f (x) = \frac{10}{x ^{2} - 25}

(- 9.4) (- 2.7)

f (x) = 2 + 5 x

f (x) = 2 e^{2 x + 1}

∣ x ∣

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