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

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

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

domain

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

x < 0 or x > 0

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

f (x) = \frac{5 x}{7 x - 8}

f (x) = \frac{2 x ^{2} - 3 x - 20}{x - 5}

(8594, 8424), (4257, 1278)

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

(- 5, - 2), (2, 3)

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