What is the domain of f(x)=(9x)/(x(x^2-49)) ?

The domain of f(x)=(9x)/(x(x^2-49)) is x 7

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domain of f(x)=(9x)/(x(x^2-49))

domain

f (x) = \frac{9 x}{x ( x ^{2} - 49 )}

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

What is the domain of f(x)=(9x)/(x(x^2-49)) ?
The domain of f(x)=(9x)/(x(x^2-49)) is x<-7\lor-7<x<0\lor 0<x<7\lor x>7