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

f (x) = \frac{4}{3 x - 12}

f (x) = t^{2} - 4

lo g_{2} (\frac{2}{3} x - 4)

f (x) = - x - 9

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

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