What is the domain of (5x-7)/(x^3-25x) ?

The domain of (5x-7)/(x^3-25x) is x 5

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domain of (5x-7)/(x^3-25x)

domain

x < - 5 or - 5 < x < 0 or 0 < x < 5 or x > 5

Interval Notation

(- \infty, - 5) \cup (- 5, 0) \cup (0, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 5, x = 5

The function domain

x < - 5 or - 5 < x < 0 or 0 < x < 5 or x > 5

What is the domain of (5x-7)/(x^3-25x) ?
The domain of (5x-7)/(x^3-25x) is x<-5\lor-5<x<0\lor 0<x<5\lor x>5