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

\frac{5 x - 7}{x ^{3} - 25 x}

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

x^{3} - 12 x^{2} + 48 x - 68

f (x) = \frac{x ^{3}}{x ^{2} + x - 6}

4 x^{2} - 72

\frac{x ^{2} - 5 x + 2}{x ^{2} + 1}

- x - 8

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