What is the domain of f(x)=(3x^2)/(x^2-9) ?

The domain of f(x)=(3x^2)/(x^2-9) is x 3

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domain of f(x)=(3x^2)/(x^2-9)

domain

f (x) = \frac{3 x ^{2}}{x ^{2} - 9}

x < - 3 or - 3 < x < 3 or x > 3

Solution steps

Find undefined (singularity) points:

x = 3, x = - 3

The function domain

x < - 3 or - 3 < x < 3 or x > 3

y = \frac{3 x - 1}{2 x + 8}

f (x) = - 5

f (x) = \frac{1}{x + 4 - 2}

(x - 6)^{2}

\frac{x - 2}{2 x - 4}

What is the domain of f(x)=(3x^2)/(x^2-9) ?
The domain of f(x)=(3x^2)/(x^2-9) is x<-3\lor-3<x<3\lor x>3