What is the domain of f(x)=(x+2)/(x^3-100x) ?

The domain of f(x)=(x+2)/(x^3-100x) is x 10

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domain of f(x)=(x+2)/(x^3-100x)

domain

f (x) = \frac{x + 2}{x ^{3} - 100 x}

x < - 10 or - 10 < x < 0 or 0 < x < 10 or x > 10

Interval Notation

(- \infty, - 10) \cup (- 10, 0) \cup (0, 10) \cup (10, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 10, x = 10

The function domain

x < - 10 or - 10 < x < 0 or 0 < x < 10 or x > 10

\frac{x ^{3} - 7 x + 6}{x ^{3} - 7 x - 6}

f (x) = 34

f (x) = 7 - \frac{1}{x}

arcsin (2 ∣ x ∣)

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

What is the domain of f(x)=(x+2)/(x^3-100x) ?
The domain of f(x)=(x+2)/(x^3-100x) is x<-10\lor-10<x<0\lor 0<x<10\lor x>10