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

f (x) = \frac{x ^{2} - x}{x ^{2} - 6 x + 5}

f (x) = 90 x + 750

f (x) = x^{(\frac{4}{6})}

(- 5, 3), (\frac{5}{2}, 1)

7 x + 3 y = 1

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