What is the domain of f(x)=(3x)/(x^2-64) ?

The domain of f(x)=(3x)/(x^2-64) is x 8

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domain of f(x)=(3x)/(x^2-64)

domain

f (x) = \frac{3 x}{x ^{2} - 64}

x < - 8 or - 8 < x < 8 or x > 8

Solution steps

Find undefined (singularity) points:

x = 8, x = - 8

The function domain

x < - 8 or - 8 < x < 8 or x > 8

\frac{5 x}{( 3 x - 2 ) ^{2}}

f (x) = \frac{3 x + 2}{x - 7}

\frac{x ^{2} - 2}{x - 2 x ^{2} - 6}

x - 3 - x

What is the domain of f(x)=(3x)/(x^2-64) ?
The domain of f(x)=(3x)/(x^2-64) is x<-8\lor-8<x<8\lor x>8