What is the domain of (x-2)/(x^3-49x) ?

The domain of (x-2)/(x^3-49x) is x 7

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domain of (x-2)/(x^3-49x)

domain

\frac{x - 2}{x ^{3} - 49 x}

x < - 7 or - 7 < x < 0 or 0 < x < 7 or x > 7

Interval Notation

(- \infty, - 7) \cup (- 7, 0) \cup (0, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 7, x = 7

The function domain

x < - 7 or - 7 < x < 0 or 0 < x < 7 or x > 7

x^{2} - 20 x + 100

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

f (x) = \frac{8}{x - 5}

f (x) = \frac{48000}{100 - x}

f (x) = - (x + 2) + 3

What is the domain of (x-2)/(x^3-49x) ?
The domain of (x-2)/(x^3-49x) is x<-7\lor-7<x<0\lor 0<x<7\lor x>7