What is the domain of f(x)=(x-7)/(x^3+2x) ?

The domain of f(x)=(x-7)/(x^3+2x) is x 0

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domain of f(x)=(x-7)/(x^3+2x)

domain

f (x) = \frac{x - 7}{x ^{3} + 2 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^{4} - 4 x^{3} + 1

f (x) = \frac{4}{( x + 1 ) ^{2} - 1}

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

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

f (x) = \frac{x ^{2} - 5 x + 6}{4 x + 4}

What is the domain of f(x)=(x-7)/(x^3+2x) ?
The domain of f(x)=(x-7)/(x^3+2x) is x<0\lor x>0