What is the domain of f(x)=(3x)/(x^2-25) ?

The domain of f(x)=(3x)/(x^2-25) is x 5

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domain of f(x)=(3x)/(x^2-25)

domain

f (x) = \frac{3 x}{x ^{2} - 25}

x < - 5 or - 5 < x < 5 or x > 5

Interval Notation

(- \infty, - 5) \cup (- 5, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = - 5

The function domain

x < - 5 or - 5 < x < 5 or x > 5

- \frac{1}{2} x^{4} - 6 x^{3} - 72 x^{2}

f (x) = 3 x - 14

\frac{a - \frac{2 a - 1}{a}}{\frac{1 - a}{3 a}}

f (x) = x^{2} + 2

- 6 (x - 2)

What is the domain of f(x)=(3x)/(x^2-25) ?
The domain of f(x)=(3x)/(x^2-25) is x<-5\lor-5<x<5\lor x>5