What is the domain of (5x^2-15x)/(x^2-25) ?

The domain of (5x^2-15x)/(x^2-25) is x 5

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domain of (5x^2-15x)/(x^2-25)

domain

\frac{5 x ^{2} - 15 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

f (x) = \frac{3}{\frac{3}{x - 1} - 1}

f (x) = \frac{x - 4}{x ^{2} - 16}

f (x) = 1 - x^{2}

f (x) = - \frac{x + 2}{8}

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

What is the domain of (5x^2-15x)/(x^2-25) ?
The domain of (5x^2-15x)/(x^2-25) is x<-5\lor-5<x<5\lor x>5