What is the domain of f(x)=(15x)/(x^2-256) ?

The domain of f(x)=(15x)/(x^2-256) is x 16

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domain of f(x)=(15x)/(x^2-256)

domain

f (x) = \frac{15 x}{x ^{2} - 256}

x < - 16 or - 16 < x < 16 or x > 16

Interval Notation

(- \infty, - 16) \cup (- 16, 16) \cup (16, \infty)

Solution steps

Find undefined (singularity) points:

x = 16, x = - 16

The function domain

x < - 16 or - 16 < x < 16 or x > 16

What is the domain of f(x)=(15x)/(x^2-256) ?
The domain of f(x)=(15x)/(x^2-256) is x<-16\lor-16<x<16\lor x>16